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Finding the Fourth Proportional to 206,150.40, 309,225.60 and 159,436.80

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Solution

The fourth proportional to 206,150.40, 309,225.60 and 159,436.80 is: 239,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,150.40 : 309,225.60 = 159,436.80 : x
  2. Step 2: Convert to fraction form
    206,150.40/309,225.60 = 159,436.80/x
  3. Step 3: Cross multiply
    206,150.40x = 309,225.60 × 159,436.80
  4. Step 4: Simplify right side
    206,150.40x = 49,301,940,142.08
  5. Step 5: Solve for x
    x = 49,301,940,142.08/206,150.40
  6. Step 6: Final answer
    x = 239,155.20

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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.