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Finding the Fourth Proportional to 159,160.96, 238,744.19 and 53,982.64

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Solution

The fourth proportional to 159,160.96, 238,744.19 and 53,982.64 is: 80,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,160.96 : 238,744.19 = 53,982.64 : x
  2. Step 2: Convert to fraction form
    159,160.96/238,744.19 = 53,982.64/x
  3. Step 3: Cross multiply
    159,160.96x = 238,744.19 × 53,982.64
  4. Step 4: Simplify right side
    159,160.96x = 12,888,041,660.86
  5. Step 5: Solve for x
    x = 12,888,041,660.86/159,160.96
  6. Step 6: Final answer
    x = 80,974.89

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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.