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Finding the Fourth Proportional to 161,323.20, 242,023.20 and 67,780.80

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Solution

The fourth proportional to 161,323.20, 242,023.20 and 67,780.80 is: 101,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,323.20 : 242,023.20 = 67,780.80 : x
  2. Step 2: Convert to fraction form
    161,323.20/242,023.20 = 67,780.80/x
  3. Step 3: Cross multiply
    161,323.20x = 242,023.20 × 67,780.80
  4. Step 4: Simplify right side
    161,323.20x = 16,404,526,114.56
  5. Step 5: Solve for x
    x = 16,404,526,114.56/161,323.20
  6. Step 6: Final answer
    x = 101,687.33

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1.5x scale

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.