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Finding the Fourth Proportional to 159,744.76, 239,576.10 and 47,398.40

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Solution

The fourth proportional to 159,744.76, 239,576.10 and 47,398.40 is: 71,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,744.76 : 239,576.10 = 47,398.40 : x
  2. Step 2: Convert to fraction form
    159,744.76/239,576.10 = 47,398.40/x
  3. Step 3: Cross multiply
    159,744.76x = 239,576.10 × 47,398.40
  4. Step 4: Simplify right side
    159,744.76x = 11,355,523,341.03
  5. Step 5: Solve for x
    x = 11,355,523,341.03/159,744.76
  6. Step 6: Final answer
    x = 71,085.42

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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.