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Finding the Fourth Proportional to 337,548.30, 506,433.31 and 138,036.49

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Solution

The fourth proportional to 337,548.30, 506,433.31 and 138,036.49 is: 207,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,548.30 : 506,433.31 = 138,036.49 : x
  2. Step 2: Convert to fraction form
    337,548.30/506,433.31 = 138,036.49/x
  3. Step 3: Cross multiply
    337,548.30x = 506,433.31 × 138,036.49
  4. Step 4: Simplify right side
    337,548.30x = 69,906,275,696.76
  5. Step 5: Solve for x
    x = 69,906,275,696.76/337,548.30
  6. Step 6: Final answer
    x = 207,100.07

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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.