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Finding the Fourth Proportional to 337,651.34, 506,289.93 and 138,111.80

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Solution

The fourth proportional to 337,651.34, 506,289.93 and 138,111.80 is: 207,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,651.34 : 506,289.93 = 138,111.80 : x
  2. Step 2: Convert to fraction form
    337,651.34/506,289.93 = 138,111.80/x
  3. Step 3: Cross multiply
    337,651.34x = 506,289.93 × 138,111.80
  4. Step 4: Simplify right side
    337,651.34x = 69,924,613,554.17
  5. Step 5: Solve for x
    x = 69,924,613,554.17/337,651.34
  6. Step 6: Final answer
    x = 207,091.18

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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.