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Finding the Fourth Proportional to 119,951.40, 179,549.80 and 82,291.24

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Solution

The fourth proportional to 119,951.40, 179,549.80 and 82,291.24 is: 123,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,951.40 : 179,549.80 = 82,291.24 : x
  2. Step 2: Convert to fraction form
    119,951.40/179,549.80 = 82,291.24/x
  3. Step 3: Cross multiply
    119,951.40x = 179,549.80 × 82,291.24
  4. Step 4: Simplify right side
    119,951.40x = 14,775,375,683.75
  5. Step 5: Solve for x
    x = 14,775,375,683.75/119,951.40
  6. Step 6: Final answer
    x = 123,178.02

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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.