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Finding the Fourth Proportional to 381,880.50, 572,820.75 and 132,562.50

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Solution

The fourth proportional to 381,880.50, 572,820.75 and 132,562.50 is: 198,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,880.50 : 572,820.75 = 132,562.50 : x
  2. Step 2: Convert to fraction form
    381,880.50/572,820.75 = 132,562.50/x
  3. Step 3: Cross multiply
    381,880.50x = 572,820.75 × 132,562.50
  4. Step 4: Simplify right side
    381,880.50x = 75,934,550,671.88
  5. Step 5: Solve for x
    x = 75,934,550,671.88/381,880.50
  6. Step 6: Final answer
    x = 198,843.75

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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.