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Finding the Fourth Proportional to 135,875.34, 187,508.45 and 75,446.10

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Solution

The fourth proportional to 135,875.34, 187,508.45 and 75,446.10 is: 104,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,875.34 : 187,508.45 = 75,446.10 : x
  2. Step 2: Convert to fraction form
    135,875.34/187,508.45 = 75,446.10/x
  3. Step 3: Cross multiply
    135,875.34x = 187,508.45 × 75,446.10
  4. Step 4: Simplify right side
    135,875.34x = 14,146,781,458.16
  5. Step 5: Solve for x
    x = 14,146,781,458.16/135,875.34
  6. Step 6: Final answer
    x = 104,115.89

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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.