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Finding the Fourth Proportional to 202,234.24, 303,221.76 and 83,987.20

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Solution

The fourth proportional to 202,234.24, 303,221.76 and 83,987.20 is: 125,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,234.24 : 303,221.76 = 83,987.20 : x
  2. Step 2: Convert to fraction form
    202,234.24/303,221.76 = 83,987.20/x
  3. Step 3: Cross multiply
    202,234.24x = 303,221.76 × 83,987.20
  4. Step 4: Simplify right side
    202,234.24x = 25,466,746,601.47
  5. Step 5: Solve for x
    x = 25,466,746,601.47/202,234.24
  6. Step 6: Final answer
    x = 125,926.98

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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.