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Finding the Fourth Proportional to 151,462.92, 209,043 and 115,584.78

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Solution

The fourth proportional to 151,462.92, 209,043 and 115,584.78 is: 159,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,462.92 : 209,043 = 115,584.78 : x
  2. Step 2: Convert to fraction form
    151,462.92/209,043 = 115,584.78/x
  3. Step 3: Cross multiply
    151,462.92x = 209,043 × 115,584.78
  4. Step 4: Simplify right side
    151,462.92x = 24,162,189,165.54
  5. Step 5: Solve for x
    x = 24,162,189,165.54/151,462.92
  6. Step 6: Final answer
    x = 159,525.44

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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.