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Finding the Fourth Proportional to 231,411.60, 347,102.82 and 73,753.20

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Solution

The fourth proportional to 231,411.60, 347,102.82 and 73,753.20 is: 110,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,411.60 : 347,102.82 = 73,753.20 : x
  2. Step 2: Convert to fraction form
    231,411.60/347,102.82 = 73,753.20/x
  3. Step 3: Cross multiply
    231,411.60x = 347,102.82 × 73,753.20
  4. Step 4: Simplify right side
    231,411.60x = 25,599,943,704.02
  5. Step 5: Solve for x
    x = 25,599,943,704.02/231,411.60
  6. Step 6: Final answer
    x = 110,625.15

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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.