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Finding the Fourth Proportional to 231,725.88, 347,549.94 and 65,475

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Solution

The fourth proportional to 231,725.88, 347,549.94 and 65,475 is: 98,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,725.88 : 347,549.94 = 65,475 : x
  2. Step 2: Convert to fraction form
    231,725.88/347,549.94 = 65,475/x
  3. Step 3: Cross multiply
    231,725.88x = 347,549.94 × 65,475
  4. Step 4: Simplify right side
    231,725.88x = 22,755,832,321.50
  5. Step 5: Solve for x
    x = 22,755,832,321.50/231,725.88
  6. Step 6: Final answer
    x = 98,201.51

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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.