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Finding the Fourth Proportional to 106,391.92, 146,834.14 and 61,084.09

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Solution

The fourth proportional to 106,391.92, 146,834.14 and 61,084.09 is: 84,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,391.92 : 146,834.14 = 61,084.09 : x
  2. Step 2: Convert to fraction form
    106,391.92/146,834.14 = 61,084.09/x
  3. Step 3: Cross multiply
    106,391.92x = 146,834.14 × 61,084.09
  4. Step 4: Simplify right side
    106,391.92x = 8,969,230,037.21
  5. Step 5: Solve for x
    x = 8,969,230,037.21/106,391.92
  6. Step 6: Final answer
    x = 84,303.68

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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.