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Finding the Fourth Proportional to 283,198.76, 424,799.30 and 114,722.30

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Solution

The fourth proportional to 283,198.76, 424,799.30 and 114,722.30 is: 172,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,198.76 : 424,799.30 = 114,722.30 : x
  2. Step 2: Convert to fraction form
    283,198.76/424,799.30 = 114,722.30/x
  3. Step 3: Cross multiply
    283,198.76x = 424,799.30 × 114,722.30
  4. Step 4: Simplify right side
    283,198.76x = 48,733,952,734.39
  5. Step 5: Solve for x
    x = 48,733,952,734.39/283,198.76
  6. Step 6: Final answer
    x = 172,083.92

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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.