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Finding the Fourth Proportional to 138,851.20, 191,614.74 and 75,189.04

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Solution

The fourth proportional to 138,851.20, 191,614.74 and 75,189.04 is: 103,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,851.20 : 191,614.74 = 75,189.04 : x
  2. Step 2: Convert to fraction form
    138,851.20/191,614.74 = 75,189.04/x
  3. Step 3: Cross multiply
    138,851.20x = 191,614.74 × 75,189.04
  4. Step 4: Simplify right side
    138,851.20x = 14,407,327,392.38
  5. Step 5: Solve for x
    x = 14,407,327,392.38/138,851.20
  6. Step 6: Final answer
    x = 103,760.92

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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.