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Finding the Fourth Proportional to 135,429.60, 203,176.80 and 65,251.20

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Solution

The fourth proportional to 135,429.60, 203,176.80 and 65,251.20 is: 97,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,429.60 : 203,176.80 = 65,251.20 : x
  2. Step 2: Convert to fraction form
    135,429.60/203,176.80 = 65,251.20/x
  3. Step 3: Cross multiply
    135,429.60x = 203,176.80 × 65,251.20
  4. Step 4: Simplify right side
    135,429.60x = 13,257,530,012.16
  5. Step 5: Solve for x
    x = 13,257,530,012.16/135,429.60
  6. Step 6: Final answer
    x = 97,892.41

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Why These Related Problems?

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