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Finding the Fourth Proportional to 106,393.67, 146,836.56 and 61,085.85

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Solution

The fourth proportional to 106,393.67, 146,836.56 and 61,085.85 is: 84,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,393.67 : 146,836.56 = 61,085.85 : x
  2. Step 2: Convert to fraction form
    106,393.67/146,836.56 = 61,085.85/x
  3. Step 3: Cross multiply
    106,393.67x = 146,836.56 × 61,085.85
  4. Step 4: Simplify right side
    106,393.67x = 8,969,636,078.68
  5. Step 5: Solve for x
    x = 8,969,636,078.68/106,393.67
  6. Step 6: Final answer
    x = 84,306.11

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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.