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Finding the Fourth Proportional to 205,649.91, 283,800.65 and 125,080.83

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Solution

The fourth proportional to 205,649.91, 283,800.65 and 125,080.83 is: 172,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,649.91 : 283,800.65 = 125,080.83 : x
  2. Step 2: Convert to fraction form
    205,649.91/283,800.65 = 125,080.83/x
  3. Step 3: Cross multiply
    205,649.91x = 283,800.65 × 125,080.83
  4. Step 4: Simplify right side
    205,649.91x = 35,498,020,231.14
  5. Step 5: Solve for x
    x = 35,498,020,231.14/205,649.91
  6. Step 6: Final answer
    x = 172,613.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.