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Finding the Fourth Proportional to 192,854.90, 289,469.10 and 93,085.16

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Solution

The fourth proportional to 192,854.90, 289,469.10 and 93,085.16 is: 139,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,854.90 : 289,469.10 = 93,085.16 : x
  2. Step 2: Convert to fraction form
    192,854.90/289,469.10 = 93,085.16/x
  3. Step 3: Cross multiply
    192,854.90x = 289,469.10 × 93,085.16
  4. Step 4: Simplify right side
    192,854.90x = 26,945,277,488.56
  5. Step 5: Solve for x
    x = 26,945,277,488.56/192,854.90
  6. Step 6: Final answer
    x = 139,717.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.