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Finding the Fourth Proportional to 107,016.16, 160,376.62 and 80,691.97

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Solution

The fourth proportional to 107,016.16, 160,376.62 and 80,691.97 is: 120,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,016.16 : 160,376.62 = 80,691.97 : x
  2. Step 2: Convert to fraction form
    107,016.16/160,376.62 = 80,691.97/x
  3. Step 3: Cross multiply
    107,016.16x = 160,376.62 × 80,691.97
  4. Step 4: Simplify right side
    107,016.16x = 12,941,105,409.74
  5. Step 5: Solve for x
    x = 12,941,105,409.74/107,016.16
  6. Step 6: Final answer
    x = 120,926.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.