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Finding the Fourth Proportional to 115,992.93, 160,065.41 and 65,691.93

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Solution

The fourth proportional to 115,992.93, 160,065.41 and 65,691.93 is: 90,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,992.93 : 160,065.41 = 65,691.93 : x
  2. Step 2: Convert to fraction form
    115,992.93/160,065.41 = 65,691.93/x
  3. Step 3: Cross multiply
    115,992.93x = 160,065.41 × 65,691.93
  4. Step 4: Simplify right side
    115,992.93x = 10,515,005,380.68
  5. Step 5: Solve for x
    x = 10,515,005,380.68/115,992.93
  6. Step 6: Final answer
    x = 90,652.12

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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.