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Finding the Fourth Proportional to 205,290.78, 283,239.28 and 119,233.14

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Solution

The fourth proportional to 205,290.78, 283,239.28 and 119,233.14 is: 164,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,290.78 : 283,239.28 = 119,233.14 : x
  2. Step 2: Convert to fraction form
    205,290.78/283,239.28 = 119,233.14/x
  3. Step 3: Cross multiply
    205,290.78x = 283,239.28 × 119,233.14
  4. Step 4: Simplify right side
    205,290.78x = 33,771,508,725.74
  5. Step 5: Solve for x
    x = 33,771,508,725.74/205,290.78
  6. Step 6: Final answer
    x = 164,505.73

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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.