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Finding the Fourth Proportional to 160,841.29, 221,956.69 and 92,855.97

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Solution

The fourth proportional to 160,841.29, 221,956.69 and 92,855.97 is: 128,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,841.29 : 221,956.69 = 92,855.97 : x
  2. Step 2: Convert to fraction form
    160,841.29/221,956.69 = 92,855.97/x
  3. Step 3: Cross multiply
    160,841.29x = 221,956.69 × 92,855.97
  4. Step 4: Simplify right side
    160,841.29x = 20,610,003,747.94
  5. Step 5: Solve for x
    x = 20,610,003,747.94/160,841.29
  6. Step 6: Final answer
    x = 128,138.76

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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.