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Finding the Fourth Proportional to 135,446.34, 203,188.54 and 56,542.62

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Solution

The fourth proportional to 135,446.34, 203,188.54 and 56,542.62 is: 84,821.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,446.34 : 203,188.54 = 56,542.62 : x
  2. Step 2: Convert to fraction form
    135,446.34/203,188.54 = 56,542.62/x
  3. Step 3: Cross multiply
    135,446.34x = 203,188.54 × 56,542.62
  4. Step 4: Simplify right side
    135,446.34x = 11,488,812,405.57
  5. Step 5: Solve for x
    x = 11,488,812,405.57/135,446.34
  6. Step 6: Final answer
    x = 84,821.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.