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Finding the Fourth Proportional to 206,143.80, 309,129.30 and 65,864.76

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Solution

The fourth proportional to 206,143.80, 309,129.30 and 65,864.76 is: 98,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,143.80 : 309,129.30 = 65,864.76 : x
  2. Step 2: Convert to fraction form
    206,143.80/309,129.30 = 65,864.76/x
  3. Step 3: Cross multiply
    206,143.80x = 309,129.30 × 65,864.76
  4. Step 4: Simplify right side
    206,143.80x = 20,360,727,153.47
  5. Step 5: Solve for x
    x = 20,360,727,153.47/206,143.80
  6. Step 6: Final answer
    x = 98,769.53

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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.