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Finding the Fourth Proportional to 206,823.92, 310,272.24 and 106,956.92

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Solution

The fourth proportional to 206,823.92, 310,272.24 and 106,956.92 is: 160,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,823.92 : 310,272.24 = 106,956.92 : x
  2. Step 2: Convert to fraction form
    206,823.92/310,272.24 = 106,956.92/x
  3. Step 3: Cross multiply
    206,823.92x = 310,272.24 × 106,956.92
  4. Step 4: Simplify right side
    206,823.92x = 33,185,763,151.90
  5. Step 5: Solve for x
    x = 33,185,763,151.90/206,823.92
  6. Step 6: Final answer
    x = 160,454.18

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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.