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Finding the Fourth Proportional to 200,357.76, 300,595.20 and 89,523.84

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Solution

The fourth proportional to 200,357.76, 300,595.20 and 89,523.84 is: 134,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,357.76 : 300,595.20 = 89,523.84 : x
  2. Step 2: Convert to fraction form
    200,357.76/300,595.20 = 89,523.84/x
  3. Step 3: Cross multiply
    200,357.76x = 300,595.20 × 89,523.84
  4. Step 4: Simplify right side
    200,357.76x = 26,910,436,589.57
  5. Step 5: Solve for x
    x = 26,910,436,589.57/200,357.76
  6. Step 6: Final answer
    x = 134,311.93

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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.