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Finding the Fourth Proportional to 192,894.35, 266,188.17 and 106,849.87

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Solution

The fourth proportional to 192,894.35, 266,188.17 and 106,849.87 is: 147,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,894.35 : 266,188.17 = 106,849.87 : x
  2. Step 2: Convert to fraction form
    192,894.35/266,188.17 = 106,849.87/x
  3. Step 3: Cross multiply
    192,894.35x = 266,188.17 × 106,849.87
  4. Step 4: Simplify right side
    192,894.35x = 28,442,171,095.25
  5. Step 5: Solve for x
    x = 28,442,171,095.25/192,894.35
  6. Step 6: Final answer
    x = 147,449.48

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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.