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Finding the Fourth Proportional to 206,092.71, 309,244.50 and 98,144.28

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Solution

The fourth proportional to 206,092.71, 309,244.50 and 98,144.28 is: 147,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,092.71 : 309,244.50 = 98,144.28 : x
  2. Step 2: Convert to fraction form
    206,092.71/309,244.50 = 98,144.28/x
  3. Step 3: Cross multiply
    206,092.71x = 309,244.50 × 98,144.28
  4. Step 4: Simplify right side
    206,092.71x = 30,350,578,796.46
  5. Step 5: Solve for x
    x = 30,350,578,796.46/206,092.71
  6. Step 6: Final answer
    x = 147,266.63

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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.