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Finding the Fourth Proportional to 206,695.20, 310,042.80 and 184,144.80

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Solution

The fourth proportional to 206,695.20, 310,042.80 and 184,144.80 is: 276,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,695.20 : 310,042.80 = 184,144.80 : x
  2. Step 2: Convert to fraction form
    206,695.20/310,042.80 = 184,144.80/x
  3. Step 3: Cross multiply
    206,695.20x = 310,042.80 × 184,144.80
  4. Step 4: Simplify right side
    206,695.20x = 57,092,769,397.44
  5. Step 5: Solve for x
    x = 57,092,769,397.44/206,695.20
  6. Step 6: Final answer
    x = 276,217.20

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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.