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Finding the Fourth Proportional to 138,862.46, 191,629.80 and 75,200.24

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Solution

The fourth proportional to 138,862.46, 191,629.80 and 75,200.24 is: 103,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,862.46 : 191,629.80 = 75,200.24 : x
  2. Step 2: Convert to fraction form
    138,862.46/191,629.80 = 75,200.24/x
  3. Step 3: Cross multiply
    138,862.46x = 191,629.80 × 75,200.24
  4. Step 4: Simplify right side
    138,862.46x = 14,410,606,951.15
  5. Step 5: Solve for x
    x = 14,410,606,951.15/138,862.46
  6. Step 6: Final answer
    x = 103,776.12

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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.