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Finding the Fourth Proportional to 205,228.80, 307,843.20 and 126,086.40

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Solution

The fourth proportional to 205,228.80, 307,843.20 and 126,086.40 is: 189,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,228.80 : 307,843.20 = 126,086.40 : x
  2. Step 2: Convert to fraction form
    205,228.80/307,843.20 = 126,086.40/x
  3. Step 3: Cross multiply
    205,228.80x = 307,843.20 × 126,086.40
  4. Step 4: Simplify right side
    205,228.80x = 38,814,840,852.48
  5. Step 5: Solve for x
    x = 38,814,840,852.48/205,228.80
  6. Step 6: Final answer
    x = 189,129.60

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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.