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Finding the Fourth Proportional to 206,819.60, 310,229.40 and 101,843.60

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Solution

The fourth proportional to 206,819.60, 310,229.40 and 101,843.60 is: 152,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,819.60 : 310,229.40 = 101,843.60 : x
  2. Step 2: Convert to fraction form
    206,819.60/310,229.40 = 101,843.60/x
  3. Step 3: Cross multiply
    206,819.60x = 310,229.40 × 101,843.60
  4. Step 4: Simplify right side
    206,819.60x = 31,594,878,921.84
  5. Step 5: Solve for x
    x = 31,594,878,921.84/206,819.60
  6. Step 6: Final answer
    x = 152,765.40

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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.