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Finding the Fourth Proportional to 209,332.08, 314,012.40 and 59,584.08

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Solution

The fourth proportional to 209,332.08, 314,012.40 and 59,584.08 is: 89,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,332.08 : 314,012.40 = 59,584.08 : x
  2. Step 2: Convert to fraction form
    209,332.08/314,012.40 = 59,584.08/x
  3. Step 3: Cross multiply
    209,332.08x = 314,012.40 × 59,584.08
  4. Step 4: Simplify right side
    209,332.08x = 18,710,139,962.59
  5. Step 5: Solve for x
    x = 18,710,139,962.59/209,332.08
  6. Step 6: Final answer
    x = 89,380.18

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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.