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Finding the Fourth Proportional to 115,707.68, 159,691.38 and 64,723.24

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Solution

The fourth proportional to 115,707.68, 159,691.38 and 64,723.24 is: 89,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,707.68 : 159,691.38 = 64,723.24 : x
  2. Step 2: Convert to fraction form
    115,707.68/159,691.38 = 64,723.24/x
  3. Step 3: Cross multiply
    115,707.68x = 159,691.38 × 64,723.24
  4. Step 4: Simplify right side
    115,707.68x = 10,335,743,114.44
  5. Step 5: Solve for x
    x = 10,335,743,114.44/115,707.68
  6. Step 6: Final answer
    x = 89,326.34

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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.