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Finding the Fourth Proportional to 135,822.60, 203,753.31 and 42,335.64

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Solution

The fourth proportional to 135,822.60, 203,753.31 and 42,335.64 is: 63,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,822.60 : 203,753.31 = 42,335.64 : x
  2. Step 2: Convert to fraction form
    135,822.60/203,753.31 = 42,335.64/x
  3. Step 3: Cross multiply
    135,822.60x = 203,753.31 × 42,335.64
  4. Step 4: Simplify right side
    135,822.60x = 8,626,026,780.97
  5. Step 5: Solve for x
    x = 8,626,026,780.97/135,822.60
  6. Step 6: Final answer
    x = 63,509.51

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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.