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Finding the Fourth Proportional to 332,180.36, 498,454.86 and 135,173

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Solution

The fourth proportional to 332,180.36, 498,454.86 and 135,173 is: 202,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,180.36 : 498,454.86 = 135,173 : x
  2. Step 2: Convert to fraction form
    332,180.36/498,454.86 = 135,173/x
  3. Step 3: Cross multiply
    332,180.36x = 498,454.86 × 135,173
  4. Step 4: Simplify right side
    332,180.36x = 67,377,638,790.78
  5. Step 5: Solve for x
    x = 67,377,638,790.78/332,180.36
  6. Step 6: Final answer
    x = 202,834.50

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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.