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Finding the Fourth Proportional to 231,589.56, 347,025.68 and 160,650.16

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Solution

The fourth proportional to 231,589.56, 347,025.68 and 160,650.16 is: 240,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,589.56 : 347,025.68 = 160,650.16 : x
  2. Step 2: Convert to fraction form
    231,589.56/347,025.68 = 160,650.16/x
  3. Step 3: Cross multiply
    231,589.56x = 347,025.68 × 160,650.16
  4. Step 4: Simplify right side
    231,589.56x = 55,749,731,016.11
  5. Step 5: Solve for x
    x = 55,749,731,016.11/231,589.56
  6. Step 6: Final answer
    x = 240,726.44

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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.