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Finding the Fourth Proportional to 209,952,224.80, 314,928,337.20 and 192,095,807.20

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Solution

The fourth proportional to 209,952,224.80, 314,928,337.20 and 192,095,807.20 is: 288,143,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,224.80 : 314,928,337.20 = 192,095,807.20 : x
  2. Step 2: Convert to fraction form
    209,952,224.80/314,928,337.20 = 192,095,807.20/x
  3. Step 3: Cross multiply
    209,952,224.80x = 314,928,337.20 × 192,095,807.20
  4. Step 4: Simplify right side
    209,952,224.80x = 60,496,413,144,587,784
  5. Step 5: Solve for x
    x = 60,496,413,144,587,784/209,952,224.80
  6. Step 6: Final answer
    x = 288,143,710.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.