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Finding the Fourth Proportional to 200,581.20, 301,017.60 and 82,337.40

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Solution

The fourth proportional to 200,581.20, 301,017.60 and 82,337.40 is: 123,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,581.20 : 301,017.60 = 82,337.40 : x
  2. Step 2: Convert to fraction form
    200,581.20/301,017.60 = 82,337.40/x
  3. Step 3: Cross multiply
    200,581.20x = 301,017.60 × 82,337.40
  4. Step 4: Simplify right side
    200,581.20x = 24,785,006,538.24
  5. Step 5: Solve for x
    x = 24,785,006,538.24/200,581.20
  6. Step 6: Final answer
    x = 123,565.95

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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.