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Finding the Fourth Proportional to 159,902.70, 239,832.14 and 47,600.24

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Solution

The fourth proportional to 159,902.70, 239,832.14 and 47,600.24 is: 71,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,902.70 : 239,832.14 = 47,600.24 : x
  2. Step 2: Convert to fraction form
    159,902.70/239,832.14 = 47,600.24/x
  3. Step 3: Cross multiply
    159,902.70x = 239,832.14 × 47,600.24
  4. Step 4: Simplify right side
    159,902.70x = 11,416,067,423.71
  5. Step 5: Solve for x
    x = 11,416,067,423.71/159,902.70
  6. Step 6: Final answer
    x = 71,393.84

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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.