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Finding the Fourth Proportional to 180,266.53, 270,209.11 and 67,898.12

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Solution

The fourth proportional to 180,266.53, 270,209.11 and 67,898.12 is: 101,775.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,266.53 : 270,209.11 = 67,898.12 : x
  2. Step 2: Convert to fraction form
    180,266.53/270,209.11 = 67,898.12/x
  3. Step 3: Cross multiply
    180,266.53x = 270,209.11 × 67,898.12
  4. Step 4: Simplify right side
    180,266.53x = 18,346,690,575.87
  5. Step 5: Solve for x
    x = 18,346,690,575.87/180,266.53
  6. Step 6: Final answer
    x = 101,775.36

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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.