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Finding the Fourth Proportional to 206,411.20, 309,616.80 and 127,679.20

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Solution

The fourth proportional to 206,411.20, 309,616.80 and 127,679.20 is: 191,518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,411.20 : 309,616.80 = 127,679.20 : x
  2. Step 2: Convert to fraction form
    206,411.20/309,616.80 = 127,679.20/x
  3. Step 3: Cross multiply
    206,411.20x = 309,616.80 × 127,679.20
  4. Step 4: Simplify right side
    206,411.20x = 39,531,625,330.56
  5. Step 5: Solve for x
    x = 39,531,625,330.56/206,411.20
  6. Step 6: Final answer
    x = 191,518.80

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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.