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Finding the Fourth Proportional to 138,434.76, 207,475.56 and 67,374.27

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Solution

The fourth proportional to 138,434.76, 207,475.56 and 67,374.27 is: 100,975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,434.76 : 207,475.56 = 67,374.27 : x
  2. Step 2: Convert to fraction form
    138,434.76/207,475.56 = 67,374.27/x
  3. Step 3: Cross multiply
    138,434.76x = 207,475.56 × 67,374.27
  4. Step 4: Simplify right side
    138,434.76x = 13,978,514,397.84
  5. Step 5: Solve for x
    x = 13,978,514,397.84/138,434.76
  6. Step 6: Final answer
    x = 100,975.47

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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.