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Finding the Fourth Proportional to 206,862.89, 285,464.12 and 114,981.71

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Solution

The fourth proportional to 206,862.89, 285,464.12 and 114,981.71 is: 158,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,862.89 : 285,464.12 = 114,981.71 : x
  2. Step 2: Convert to fraction form
    206,862.89/285,464.12 = 114,981.71/x
  3. Step 3: Cross multiply
    206,862.89x = 285,464.12 × 114,981.71
  4. Step 4: Simplify right side
    206,862.89x = 32,823,150,659.02
  5. Step 5: Solve for x
    x = 32,823,150,659.02/206,862.89
  6. Step 6: Final answer
    x = 158,671.05

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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.