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Finding the Fourth Proportional to 159,758, 239,616.18 and 47,435.96

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Solution

The fourth proportional to 159,758, 239,616.18 and 47,435.96 is: 71,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,758 : 239,616.18 = 47,435.96 : x
  2. Step 2: Convert to fraction form
    159,758/239,616.18 = 47,435.96/x
  3. Step 3: Cross multiply
    159,758x = 239,616.18 × 47,435.96
  4. Step 4: Simplify right side
    159,758x = 11,366,423,529.83
  5. Step 5: Solve for x
    x = 11,366,423,529.83/159,758
  6. Step 6: Final answer
    x = 71,147.76

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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.