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Finding the Fourth Proportional to 202,414.90, 303,658.80 and 84,098.20

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Solution

The fourth proportional to 202,414.90, 303,658.80 and 84,098.20 is: 126,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,414.90 : 303,658.80 = 84,098.20 : x
  2. Step 2: Convert to fraction form
    202,414.90/303,658.80 = 84,098.20/x
  3. Step 3: Cross multiply
    202,414.90x = 303,658.80 × 84,098.20
  4. Step 4: Simplify right side
    202,414.90x = 25,537,158,494.16
  5. Step 5: Solve for x
    x = 25,537,158,494.16/202,414.90
  6. Step 6: Final answer
    x = 126,162.44

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1.5x scale

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.