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Finding the Fourth Proportional to 138,811.32, 191,550.42 and 77,556.69

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Solution

The fourth proportional to 138,811.32, 191,550.42 and 77,556.69 is: 107,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,811.32 : 191,550.42 = 77,556.69 : x
  2. Step 2: Convert to fraction form
    138,811.32/191,550.42 = 77,556.69/x
  3. Step 3: Cross multiply
    138,811.32x = 191,550.42 × 77,556.69
  4. Step 4: Simplify right side
    138,811.32x = 14,856,016,543.31
  5. Step 5: Solve for x
    x = 14,856,016,543.31/138,811.32
  6. Step 6: Final answer
    x = 107,023.09

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