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Finding the Fourth Proportional to 123,600.20, 185,357.10 and 64,416.20

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Solution

The fourth proportional to 123,600.20, 185,357.10 and 64,416.20 is: 96,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,600.20 : 185,357.10 = 64,416.20 : x
  2. Step 2: Convert to fraction form
    123,600.20/185,357.10 = 64,416.20/x
  3. Step 3: Cross multiply
    123,600.20x = 185,357.10 × 64,416.20
  4. Step 4: Simplify right side
    123,600.20x = 11,940,000,025.02
  5. Step 5: Solve for x
    x = 11,940,000,025.02/123,600.20
  6. Step 6: Final answer
    x = 96,601.79

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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.