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Finding the Fourth Proportional to 115,565.38, 159,477.17 and 64,578.53

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Solution

The fourth proportional to 115,565.38, 159,477.17 and 64,578.53 is: 89,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,565.38 : 159,477.17 = 64,578.53 : x
  2. Step 2: Convert to fraction form
    115,565.38/159,477.17 = 64,578.53/x
  3. Step 3: Cross multiply
    115,565.38x = 159,477.17 × 64,578.53
  4. Step 4: Simplify right side
    115,565.38x = 10,298,800,086.88
  5. Step 5: Solve for x
    x = 10,298,800,086.88/115,565.38
  6. Step 6: Final answer
    x = 89,116.66

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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.