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Finding the Fourth Proportional to 204,454.86, 282,177.84 and 122,788.62

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Solution

The fourth proportional to 204,454.86, 282,177.84 and 122,788.62 is: 169,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,454.86 : 282,177.84 = 122,788.62 : x
  2. Step 2: Convert to fraction form
    204,454.86/282,177.84 = 122,788.62/x
  3. Step 3: Cross multiply
    204,454.86x = 282,177.84 × 122,788.62
  4. Step 4: Simplify right side
    204,454.86x = 34,648,227,568.18
  5. Step 5: Solve for x
    x = 34,648,227,568.18/204,454.86
  6. Step 6: Final answer
    x = 169,466.39

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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.