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Finding the Fourth Proportional to 205,633.80, 283,775.40 and 119,613.42

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Solution

The fourth proportional to 205,633.80, 283,775.40 and 119,613.42 is: 165,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,633.80 : 283,775.40 = 119,613.42 : x
  2. Step 2: Convert to fraction form
    205,633.80/283,775.40 = 119,613.42/x
  3. Step 3: Cross multiply
    205,633.80x = 283,775.40 × 119,613.42
  4. Step 4: Simplify right side
    205,633.80x = 33,943,346,105.87
  5. Step 5: Solve for x
    x = 33,943,346,105.87/205,633.80
  6. Step 6: Final answer
    x = 165,066.96

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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.