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Finding the Fourth Proportional to 254,456.20, 381,830.10 and 96,797.80

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Solution

The fourth proportional to 254,456.20, 381,830.10 and 96,797.80 is: 145,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,456.20 : 381,830.10 = 96,797.80 : x
  2. Step 2: Convert to fraction form
    254,456.20/381,830.10 = 96,797.80/x
  3. Step 3: Cross multiply
    254,456.20x = 381,830.10 × 96,797.80
  4. Step 4: Simplify right side
    254,456.20x = 36,960,313,653.78
  5. Step 5: Solve for x
    x = 36,960,313,653.78/254,456.20
  6. Step 6: Final answer
    x = 145,252.16

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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.