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Finding the Fourth Proportional to 138,820.52, 191,572.80 and 75,158.60

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Solution

The fourth proportional to 138,820.52, 191,572.80 and 75,158.60 is: 103,719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,820.52 : 191,572.80 = 75,158.60 : x
  2. Step 2: Convert to fraction form
    138,820.52/191,572.80 = 75,158.60/x
  3. Step 3: Cross multiply
    138,820.52x = 191,572.80 × 75,158.60
  4. Step 4: Simplify right side
    138,820.52x = 14,398,343,446.08
  5. Step 5: Solve for x
    x = 14,398,343,446.08/138,820.52
  6. Step 6: Final answer
    x = 103,719.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.