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Finding the Fourth Proportional to 138,617.80, 207,926.70 and 75,632.20

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Solution

The fourth proportional to 138,617.80, 207,926.70 and 75,632.20 is: 113,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,617.80 : 207,926.70 = 75,632.20 : x
  2. Step 2: Convert to fraction form
    138,617.80/207,926.70 = 75,632.20/x
  3. Step 3: Cross multiply
    138,617.80x = 207,926.70 × 75,632.20
  4. Step 4: Simplify right side
    138,617.80x = 15,725,953,759.74
  5. Step 5: Solve for x
    x = 15,725,953,759.74/138,617.80
  6. Step 6: Final answer
    x = 113,448.30

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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.