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Finding the Fourth Proportional to 202,167.20, 303,323.70 and 83,874.80

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Solution

The fourth proportional to 202,167.20, 303,323.70 and 83,874.80 is: 125,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,167.20 : 303,323.70 = 83,874.80 : x
  2. Step 2: Convert to fraction form
    202,167.20/303,323.70 = 83,874.80/x
  3. Step 3: Cross multiply
    202,167.20x = 303,323.70 × 83,874.80
  4. Step 4: Simplify right side
    202,167.20x = 25,441,214,672.76
  5. Step 5: Solve for x
    x = 25,441,214,672.76/202,167.20
  6. Step 6: Final answer
    x = 125,842.44

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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.