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Finding the Fourth Proportional to 337,642.40, 506,276.64 and 138,102.93

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Solution

The fourth proportional to 337,642.40, 506,276.64 and 138,102.93 is: 207,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,642.40 : 506,276.64 = 138,102.93 : x
  2. Step 2: Convert to fraction form
    337,642.40/506,276.64 = 138,102.93/x
  3. Step 3: Cross multiply
    337,642.40x = 506,276.64 × 138,102.93
  4. Step 4: Simplify right side
    337,642.40x = 69,918,287,374.56
  5. Step 5: Solve for x
    x = 69,918,287,374.56/337,642.40
  6. Step 6: Final answer
    x = 207,077.93

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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.