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Finding the Fourth Proportional to 180,454.50, 270,557.01 and 129,884.58

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Solution

The fourth proportional to 180,454.50, 270,557.01 and 129,884.58 is: 194,737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,454.50 : 270,557.01 = 129,884.58 : x
  2. Step 2: Convert to fraction form
    180,454.50/270,557.01 = 129,884.58/x
  3. Step 3: Cross multiply
    180,454.50x = 270,557.01 × 129,884.58
  4. Step 4: Simplify right side
    180,454.50x = 35,141,183,609.91
  5. Step 5: Solve for x
    x = 35,141,183,609.91/180,454.50
  6. Step 6: Final answer
    x = 194,737.09

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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.