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Finding the Fourth Proportional to 159,793.35, 239,648.54 and 47,447.16

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Solution

The fourth proportional to 159,793.35, 239,648.54 and 47,447.16 is: 71,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,793.35 : 239,648.54 = 47,447.16 : x
  2. Step 2: Convert to fraction form
    159,793.35/239,648.54 = 47,447.16/x
  3. Step 3: Cross multiply
    159,793.35x = 239,648.54 × 47,447.16
  4. Step 4: Simplify right side
    159,793.35x = 11,370,642,621.15
  5. Step 5: Solve for x
    x = 11,370,642,621.15/159,793.35
  6. Step 6: Final answer
    x = 71,158.42

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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.