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Finding the Fourth Proportional to 215,734.20, 323,543.70 and 75,478.20

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Solution

The fourth proportional to 215,734.20, 323,543.70 and 75,478.20 is: 113,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,734.20 : 323,543.70 = 75,478.20 : x
  2. Step 2: Convert to fraction form
    215,734.20/323,543.70 = 75,478.20/x
  3. Step 3: Cross multiply
    215,734.20x = 323,543.70 × 75,478.20
  4. Step 4: Simplify right side
    215,734.20x = 24,420,496,097.34
  5. Step 5: Solve for x
    x = 24,420,496,097.34/215,734.20
  6. Step 6: Final answer
    x = 113,197.15

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1.5x scale

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.