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Finding the Fourth Proportional to 177,983.22, 266,967.92 and 65,614.84

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Solution

The fourth proportional to 177,983.22, 266,967.92 and 65,614.84 is: 98,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,983.22 : 266,967.92 = 65,614.84 : x
  2. Step 2: Convert to fraction form
    177,983.22/266,967.92 = 65,614.84/x
  3. Step 3: Cross multiply
    177,983.22x = 266,967.92 × 65,614.84
  4. Step 4: Simplify right side
    177,983.22x = 17,517,057,355.93
  5. Step 5: Solve for x
    x = 17,517,057,355.93/177,983.22
  6. Step 6: Final answer
    x = 98,419.71

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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.