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Finding the Fourth Proportional to 138,766.80, 191,497.96 and 75,104.56

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Solution

The fourth proportional to 138,766.80, 191,497.96 and 75,104.56 is: 103,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,766.80 : 191,497.96 = 75,104.56 : x
  2. Step 2: Convert to fraction form
    138,766.80/191,497.96 = 75,104.56/x
  3. Step 3: Cross multiply
    138,766.80x = 191,497.96 × 75,104.56
  4. Step 4: Simplify right side
    138,766.80x = 14,382,370,026.70
  5. Step 5: Solve for x
    x = 14,382,370,026.70/138,766.80
  6. Step 6: Final answer
    x = 103,644.17

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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.