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Finding the Fourth Proportional to 205,021.70, 282,930.28 and 113,138.84

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Solution

The fourth proportional to 205,021.70, 282,930.28 and 113,138.84 is: 156,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,021.70 : 282,930.28 = 113,138.84 : x
  2. Step 2: Convert to fraction form
    205,021.70/282,930.28 = 113,138.84/x
  3. Step 3: Cross multiply
    205,021.70x = 282,930.28 × 113,138.84
  4. Step 4: Simplify right side
    205,021.70x = 32,010,403,680.08
  5. Step 5: Solve for x
    x = 32,010,403,680.08/205,021.70
  6. Step 6: Final answer
    x = 156,131.78

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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.