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Finding the Fourth Proportional to 200,082.92, 300,211.84 and 75,394.76

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Solution

The fourth proportional to 200,082.92, 300,211.84 and 75,394.76 is: 113,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,082.92 : 300,211.84 = 75,394.76 : x
  2. Step 2: Convert to fraction form
    200,082.92/300,211.84 = 75,394.76/x
  3. Step 3: Cross multiply
    200,082.92x = 300,211.84 × 75,394.76
  4. Step 4: Simplify right side
    200,082.92x = 22,634,399,625.96
  5. Step 5: Solve for x
    x = 22,634,399,625.96/200,082.92
  6. Step 6: Final answer
    x = 113,125.10

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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.