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Finding the Fourth Proportional to 278,002.20, 416,906.10 and 144,838.20

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Solution

The fourth proportional to 278,002.20, 416,906.10 and 144,838.20 is: 217,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,002.20 : 416,906.10 = 144,838.20 : x
  2. Step 2: Convert to fraction form
    278,002.20/416,906.10 = 144,838.20/x
  3. Step 3: Cross multiply
    278,002.20x = 416,906.10 × 144,838.20
  4. Step 4: Simplify right side
    278,002.20x = 60,383,929,093.02
  5. Step 5: Solve for x
    x = 60,383,929,093.02/278,002.20
  6. Step 6: Final answer
    x = 217,206.66

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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.