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Finding the Fourth Proportional to 205,752.85, 283,983.39 and 125,206.34

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Solution

The fourth proportional to 205,752.85, 283,983.39 and 125,206.34 is: 172,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,752.85 : 283,983.39 = 125,206.34 : x
  2. Step 2: Convert to fraction form
    205,752.85/283,983.39 = 125,206.34/x
  3. Step 3: Cross multiply
    205,752.85x = 283,983.39 × 125,206.34
  4. Step 4: Simplify right side
    205,752.85x = 35,556,519,462.78
  5. Step 5: Solve for x
    x = 35,556,519,462.78/205,752.85
  6. Step 6: Final answer
    x = 172,811.80

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