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Finding the Fourth Proportional to 119,016.38, 164,253.25 and 65,311.86

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Solution

The fourth proportional to 119,016.38, 164,253.25 and 65,311.86 is: 90,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,016.38 : 164,253.25 = 65,311.86 : x
  2. Step 2: Convert to fraction form
    119,016.38/164,253.25 = 65,311.86/x
  3. Step 3: Cross multiply
    119,016.38x = 164,253.25 × 65,311.86
  4. Step 4: Simplify right side
    119,016.38x = 10,727,685,966.13
  5. Step 5: Solve for x
    x = 10,727,685,966.13/119,016.38
  6. Step 6: Final answer
    x = 90,136.21

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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.