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Finding the Fourth Proportional to 226,109, 312,034.38 and 124,144.04

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Solution

The fourth proportional to 226,109, 312,034.38 and 124,144.04 is: 171,320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,109 : 312,034.38 = 124,144.04 : x
  2. Step 2: Convert to fraction form
    226,109/312,034.38 = 124,144.04/x
  3. Step 3: Cross multiply
    226,109x = 312,034.38 × 124,144.04
  4. Step 4: Simplify right side
    226,109x = 38,737,208,552.10
  5. Step 5: Solve for x
    x = 38,737,208,552.10/226,109
  6. Step 6: Final answer
    x = 171,320.95

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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.