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Finding the Fourth Proportional to 105,402.56, 145,508.64 and 81,475.20

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Solution

The fourth proportional to 105,402.56, 145,508.64 and 81,475.20 is: 112,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,402.56 : 145,508.64 = 81,475.20 : x
  2. Step 2: Convert to fraction form
    105,402.56/145,508.64 = 81,475.20/x
  3. Step 3: Cross multiply
    105,402.56x = 145,508.64 × 81,475.20
  4. Step 4: Simplify right side
    105,402.56x = 11,855,345,545.73
  5. Step 5: Solve for x
    x = 11,855,345,545.73/105,402.56
  6. Step 6: Final answer
    x = 112,476.83

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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.