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Finding the Fourth Proportional to 120,890.80, 181,264.20 and 74,177.20

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Solution

The fourth proportional to 120,890.80, 181,264.20 and 74,177.20 is: 111,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,890.80 : 181,264.20 = 74,177.20 : x
  2. Step 2: Convert to fraction form
    120,890.80/181,264.20 = 74,177.20/x
  3. Step 3: Cross multiply
    120,890.80x = 181,264.20 × 74,177.20
  4. Step 4: Simplify right side
    120,890.80x = 13,445,670,816.24
  5. Step 5: Solve for x
    x = 13,445,670,816.24/120,890.80
  6. Step 6: Final answer
    x = 111,221.62

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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.