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Finding the Fourth Proportional to 159,714.48, 239,563.48 and 47,395.65

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Solution

The fourth proportional to 159,714.48, 239,563.48 and 47,395.65 is: 71,091.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,714.48 : 239,563.48 = 47,395.65 : x
  2. Step 2: Convert to fraction form
    159,714.48/239,563.48 = 47,395.65/x
  3. Step 3: Cross multiply
    159,714.48x = 239,563.48 × 47,395.65
  4. Step 4: Simplify right side
    159,714.48x = 11,354,266,850.86
  5. Step 5: Solve for x
    x = 11,354,266,850.86/159,714.48
  6. Step 6: Final answer
    x = 71,091.03

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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.