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Finding the Fourth Proportional to 231,807.20, 347,710.80 and 82,046.30

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Solution

The fourth proportional to 231,807.20, 347,710.80 and 82,046.30 is: 123,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,807.20 : 347,710.80 = 82,046.30 : x
  2. Step 2: Convert to fraction form
    231,807.20/347,710.80 = 82,046.30/x
  3. Step 3: Cross multiply
    231,807.20x = 347,710.80 × 82,046.30
  4. Step 4: Simplify right side
    231,807.20x = 28,528,384,610.04
  5. Step 5: Solve for x
    x = 28,528,384,610.04/231,807.20
  6. Step 6: Final answer
    x = 123,069.45

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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.