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Finding the Fourth Proportional to 160,257.97, 221,129.58 and 88,624

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Solution

The fourth proportional to 160,257.97, 221,129.58 and 88,624 is: 122,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,257.97 : 221,129.58 = 88,624 : x
  2. Step 2: Convert to fraction form
    160,257.97/221,129.58 = 88,624/x
  3. Step 3: Cross multiply
    160,257.97x = 221,129.58 × 88,624
  4. Step 4: Simplify right side
    160,257.97x = 19,597,387,897.92
  5. Step 5: Solve for x
    x = 19,597,387,897.92/160,257.97
  6. Step 6: Final answer
    x = 122,286.51

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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.