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Finding the Fourth Proportional to 138,902.52, 191,685.28 and 75,240.57

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Solution

The fourth proportional to 138,902.52, 191,685.28 and 75,240.57 is: 103,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,902.52 : 191,685.28 = 75,240.57 : x
  2. Step 2: Convert to fraction form
    138,902.52/191,685.28 = 75,240.57/x
  3. Step 3: Cross multiply
    138,902.52x = 191,685.28 × 75,240.57
  4. Step 4: Simplify right side
    138,902.52x = 14,422,509,727.81
  5. Step 5: Solve for x
    x = 14,422,509,727.81/138,902.52
  6. Step 6: Final answer
    x = 103,831.88

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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.