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Finding the Fourth Proportional to 337,636.96, 506,268.48 and 138,097.47

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Solution

The fourth proportional to 337,636.96, 506,268.48 and 138,097.47 is: 207,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,636.96 : 506,268.48 = 138,097.47 : x
  2. Step 2: Convert to fraction form
    337,636.96/506,268.48 = 138,097.47/x
  3. Step 3: Cross multiply
    337,636.96x = 506,268.48 × 138,097.47
  4. Step 4: Simplify right side
    337,636.96x = 69,914,398,645.12
  5. Step 5: Solve for x
    x = 69,914,398,645.12/337,636.96
  6. Step 6: Final answer
    x = 207,069.74

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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.