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Finding the Fourth Proportional to 160,209.28, 240,311.28 and 47,889.76

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Solution

The fourth proportional to 160,209.28, 240,311.28 and 47,889.76 is: 71,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,209.28 : 240,311.28 = 47,889.76 : x
  2. Step 2: Convert to fraction form
    160,209.28/240,311.28 = 47,889.76/x
  3. Step 3: Cross multiply
    160,209.28x = 240,311.28 × 47,889.76
  4. Step 4: Simplify right side
    160,209.28x = 11,508,449,524.49
  5. Step 5: Solve for x
    x = 11,508,449,524.49/160,209.28
  6. Step 6: Final answer
    x = 71,833.85

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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.