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Finding the Fourth Proportional to 159,504.29, 220,115.74 and 87,884.29

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Solution

The fourth proportional to 159,504.29, 220,115.74 and 87,884.29 is: 121,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,504.29 : 220,115.74 = 87,884.29 : x
  2. Step 2: Convert to fraction form
    159,504.29/220,115.74 = 87,884.29/x
  3. Step 3: Cross multiply
    159,504.29x = 220,115.74 × 87,884.29
  4. Step 4: Simplify right side
    159,504.29x = 19,344,715,527.72
  5. Step 5: Solve for x
    x = 19,344,715,527.72/159,504.29
  6. Step 6: Final answer
    x = 121,280.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.