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Finding the Fourth Proportional to 381,653.50, 572,742.70 and 132,335.50

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Solution

The fourth proportional to 381,653.50, 572,742.70 and 132,335.50 is: 198,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,653.50 : 572,742.70 = 132,335.50 : x
  2. Step 2: Convert to fraction form
    381,653.50/572,742.70 = 132,335.50/x
  3. Step 3: Cross multiply
    381,653.50x = 572,742.70 × 132,335.50
  4. Step 4: Simplify right side
    381,653.50x = 75,794,191,575.85
  5. Step 5: Solve for x
    x = 75,794,191,575.85/381,653.50
  6. Step 6: Final answer
    x = 198,594.25

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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.