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Finding the Fourth Proportional to 122,757, 169,404.84 and 72,456

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Solution

The fourth proportional to 122,757, 169,404.84 and 72,456 is: 99,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,757 : 169,404.84 = 72,456 : x
  2. Step 2: Convert to fraction form
    122,757/169,404.84 = 72,456/x
  3. Step 3: Cross multiply
    122,757x = 169,404.84 × 72,456
  4. Step 4: Simplify right side
    122,757x = 12,274,397,087.04
  5. Step 5: Solve for x
    x = 12,274,397,087.04/122,757
  6. Step 6: Final answer
    x = 99,989.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.