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Finding the Fourth Proportional to 337,740.88, 506,424.12 and 138,201.16

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Solution

The fourth proportional to 337,740.88, 506,424.12 and 138,201.16 is: 207,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,740.88 : 506,424.12 = 138,201.16 : x
  2. Step 2: Convert to fraction form
    337,740.88/506,424.12 = 138,201.16/x
  3. Step 3: Cross multiply
    337,740.88x = 506,424.12 × 138,201.16
  4. Step 4: Simplify right side
    337,740.88x = 69,988,400,835.98
  5. Step 5: Solve for x
    x = 69,988,400,835.98/337,740.88
  6. Step 6: Final answer
    x = 207,225.14

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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.