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Finding the Fourth Proportional to 206,117.40, 309,176.10 and 159,403.80

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Solution

The fourth proportional to 206,117.40, 309,176.10 and 159,403.80 is: 239,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,117.40 : 309,176.10 = 159,403.80 : x
  2. Step 2: Convert to fraction form
    206,117.40/309,176.10 = 159,403.80/x
  3. Step 3: Cross multiply
    206,117.40x = 309,176.10 × 159,403.80
  4. Step 4: Simplify right side
    206,117.40x = 49,283,845,209.18
  5. Step 5: Solve for x
    x = 49,283,845,209.18/206,117.40
  6. Step 6: Final answer
    x = 239,105.70

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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.