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Finding the Fourth Proportional to 159,714.56, 239,576 and 41,384.96

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Solution

The fourth proportional to 159,714.56, 239,576 and 41,384.96 is: 62,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,714.56 : 239,576 = 41,384.96 : x
  2. Step 2: Convert to fraction form
    159,714.56/239,576 = 41,384.96/x
  3. Step 3: Cross multiply
    159,714.56x = 239,576 × 41,384.96
  4. Step 4: Simplify right side
    159,714.56x = 9,914,843,176.96
  5. Step 5: Solve for x
    x = 9,914,843,176.96/159,714.56
  6. Step 6: Final answer
    x = 62,078.52

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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.