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Finding the Fourth Proportional to 274,448.80, 411,570.80 and 108,202.40

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Solution

The fourth proportional to 274,448.80, 411,570.80 and 108,202.40 is: 162,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,448.80 : 411,570.80 = 108,202.40 : x
  2. Step 2: Convert to fraction form
    274,448.80/411,570.80 = 108,202.40/x
  3. Step 3: Cross multiply
    274,448.80x = 411,570.80 × 108,202.40
  4. Step 4: Simplify right side
    274,448.80x = 44,532,948,329.92
  5. Step 5: Solve for x
    x = 44,532,948,329.92/274,448.80
  6. Step 6: Final answer
    x = 162,263.23

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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.