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Finding the Fourth Proportional to 115,643.26, 159,614.38 and 75,286.76

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Solution

The fourth proportional to 115,643.26, 159,614.38 and 75,286.76 is: 103,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,643.26 : 159,614.38 = 75,286.76 : x
  2. Step 2: Convert to fraction form
    115,643.26/159,614.38 = 75,286.76/x
  3. Step 3: Cross multiply
    115,643.26x = 159,614.38 × 75,286.76
  4. Step 4: Simplify right side
    115,643.26x = 12,016,849,519.61
  5. Step 5: Solve for x
    x = 12,016,849,519.61/115,643.26
  6. Step 6: Final answer
    x = 103,913.10

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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.