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Finding the Fourth Proportional to 138,785.50, 191,524.02 and 75,123.82

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Solution

The fourth proportional to 138,785.50, 191,524.02 and 75,123.82 is: 103,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,785.50 : 191,524.02 = 75,123.82 : x
  2. Step 2: Convert to fraction form
    138,785.50/191,524.02 = 75,123.82/x
  3. Step 3: Cross multiply
    138,785.50x = 191,524.02 × 75,123.82
  4. Step 4: Simplify right side
    138,785.50x = 14,388,016,004.16
  5. Step 5: Solve for x
    x = 14,388,016,004.16/138,785.50
  6. Step 6: Final answer
    x = 103,670.89

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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.