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Finding the Fourth Proportional to 337,503.68, 506,255.96 and 137,824.04

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Solution

The fourth proportional to 337,503.68, 506,255.96 and 137,824.04 is: 206,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,503.68 : 506,255.96 = 137,824.04 : x
  2. Step 2: Convert to fraction form
    337,503.68/506,255.96 = 137,824.04/x
  3. Step 3: Cross multiply
    337,503.68x = 506,255.96 × 137,824.04
  4. Step 4: Simplify right side
    337,503.68x = 69,774,238,460.88
  5. Step 5: Solve for x
    x = 69,774,238,460.88/337,503.68
  6. Step 6: Final answer
    x = 206,736.23

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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.