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Finding the Fourth Proportional to 231,760.53, 347,046.26 and 160,582.05

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Solution

The fourth proportional to 231,760.53, 347,046.26 and 160,582.05 is: 240,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,760.53 : 347,046.26 = 160,582.05 : x
  2. Step 2: Convert to fraction form
    231,760.53/347,046.26 = 160,582.05/x
  3. Step 3: Cross multiply
    231,760.53x = 347,046.26 × 160,582.05
  4. Step 4: Simplify right side
    231,760.53x = 55,729,399,072.72
  5. Step 5: Solve for x
    x = 55,729,399,072.72/231,760.53
  6. Step 6: Final answer
    x = 240,461.13

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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.