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Finding the Fourth Proportional to 106,696.78, 160,124.11 and 50,537.18

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Solution

The fourth proportional to 106,696.78, 160,124.11 and 50,537.18 is: 75,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,696.78 : 160,124.11 = 50,537.18 : x
  2. Step 2: Convert to fraction form
    106,696.78/160,124.11 = 50,537.18/x
  3. Step 3: Cross multiply
    106,696.78x = 160,124.11 × 50,537.18
  4. Step 4: Simplify right side
    106,696.78x = 8,092,221,687.74
  5. Step 5: Solve for x
    x = 8,092,221,687.74/106,696.78
  6. Step 6: Final answer
    x = 75,843.17

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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.