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Finding the Fourth Proportional to 283,974.71, 391,854.77 and 156,650.27

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Solution

The fourth proportional to 283,974.71, 391,854.77 and 156,650.27 is: 216,160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,974.71 : 391,854.77 = 156,650.27 : x
  2. Step 2: Convert to fraction form
    283,974.71/391,854.77 = 156,650.27/x
  3. Step 3: Cross multiply
    283,974.71x = 391,854.77 × 156,650.27
  4. Step 4: Simplify right side
    283,974.71x = 61,384,156,305.11
  5. Step 5: Solve for x
    x = 61,384,156,305.11/283,974.71
  6. Step 6: Final answer
    x = 216,160.64

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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.