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Finding the Fourth Proportional to 138,694.52, 191,396.57 and 77,441.66

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Solution

The fourth proportional to 138,694.52, 191,396.57 and 77,441.66 is: 106,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,694.52 : 191,396.57 = 77,441.66 : x
  2. Step 2: Convert to fraction form
    138,694.52/191,396.57 = 77,441.66/x
  3. Step 3: Cross multiply
    138,694.52x = 191,396.57 × 77,441.66
  4. Step 4: Simplify right side
    138,694.52x = 14,822,068,099.11
  5. Step 5: Solve for x
    x = 14,822,068,099.11/138,694.52
  6. Step 6: Final answer
    x = 106,868.45

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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.