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Finding the Fourth Proportional to 273,081.78, 409,669.56 and 83,537.54

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Solution

The fourth proportional to 273,081.78, 409,669.56 and 83,537.54 is: 125,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,081.78 : 409,669.56 = 83,537.54 : x
  2. Step 2: Convert to fraction form
    273,081.78/409,669.56 = 83,537.54/x
  3. Step 3: Cross multiply
    273,081.78x = 409,669.56 × 83,537.54
  4. Step 4: Simplify right side
    273,081.78x = 34,222,787,255.28
  5. Step 5: Solve for x
    x = 34,222,787,255.28/273,081.78
  6. Step 6: Final answer
    x = 125,320.65

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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.