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Finding the Fourth Proportional to 200,398.60, 300,632.52 and 67,291.70

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Solution

The fourth proportional to 200,398.60, 300,632.52 and 67,291.70 is: 100,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,398.60 : 300,632.52 = 67,291.70 : x
  2. Step 2: Convert to fraction form
    200,398.60/300,632.52 = 67,291.70/x
  3. Step 3: Cross multiply
    200,398.60x = 300,632.52 × 67,291.70
  4. Step 4: Simplify right side
    200,398.60x = 20,230,073,346.08
  5. Step 5: Solve for x
    x = 20,230,073,346.08/200,398.60
  6. Step 6: Final answer
    x = 100,949.18

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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.