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Finding the Fourth Proportional to 80,263, 120,400.58 and 24,098.76

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Solution

The fourth proportional to 80,263, 120,400.58 and 24,098.76 is: 36,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,263 : 120,400.58 = 24,098.76 : x
  2. Step 2: Convert to fraction form
    80,263/120,400.58 = 24,098.76/x
  3. Step 3: Cross multiply
    80,263x = 120,400.58 × 24,098.76
  4. Step 4: Simplify right side
    80,263x = 2,901,504,681.28
  5. Step 5: Solve for x
    x = 2,901,504,681.28/80,263
  6. Step 6: Final answer
    x = 36,149.97

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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.