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Finding the Fourth Proportional to 466,133.71, 699,198.57 and 129,173.40

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Solution

The fourth proportional to 466,133.71, 699,198.57 and 129,173.40 is: 193,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,133.71 : 699,198.57 = 129,173.40 : x
  2. Step 2: Convert to fraction form
    466,133.71/699,198.57 = 129,173.40/x
  3. Step 3: Cross multiply
    466,133.71x = 699,198.57 × 129,173.40
  4. Step 4: Simplify right side
    466,133.71x = 90,317,856,562.04
  5. Step 5: Solve for x
    x = 90,317,856,562.04/466,133.71
  6. Step 6: Final answer
    x = 193,759.55

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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.