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Finding the Fourth Proportional to 159,604.92, 239,380.38 and 47,282.76

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Solution

The fourth proportional to 159,604.92, 239,380.38 and 47,282.76 is: 70,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,604.92 : 239,380.38 = 47,282.76 : x
  2. Step 2: Convert to fraction form
    159,604.92/239,380.38 = 47,282.76/x
  3. Step 3: Cross multiply
    159,604.92x = 239,380.38 × 47,282.76
  4. Step 4: Simplify right side
    159,604.92x = 11,318,565,056.25
  5. Step 5: Solve for x
    x = 11,318,565,056.25/159,604.92
  6. Step 6: Final answer
    x = 70,916.14

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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.