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Finding the Fourth Proportional to 138,472.66, 191,105.76 and 81,902.26

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Solution

The fourth proportional to 138,472.66, 191,105.76 and 81,902.26 is: 113,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,472.66 : 191,105.76 = 81,902.26 : x
  2. Step 2: Convert to fraction form
    138,472.66/191,105.76 = 81,902.26/x
  3. Step 3: Cross multiply
    138,472.66x = 191,105.76 × 81,902.26
  4. Step 4: Simplify right side
    138,472.66x = 15,651,993,643.02
  5. Step 5: Solve for x
    x = 15,651,993,643.02/138,472.66
  6. Step 6: Final answer
    x = 113,033.10

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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.