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Finding the Fourth Proportional to 180,209.67, 270,272.58 and 67,901.15

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Solution

The fourth proportional to 180,209.67, 270,272.58 and 67,901.15 is: 101,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,209.67 : 270,272.58 = 67,901.15 : x
  2. Step 2: Convert to fraction form
    180,209.67/270,272.58 = 67,901.15/x
  3. Step 3: Cross multiply
    180,209.67x = 270,272.58 × 67,901.15
  4. Step 4: Simplify right side
    180,209.67x = 18,351,817,644.10
  5. Step 5: Solve for x
    x = 18,351,817,644.10/180,209.67
  6. Step 6: Final answer
    x = 101,835.92

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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.