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Finding the Fourth Proportional to 273,082.74, 409,580.18 and 115,290.69

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Solution

The fourth proportional to 273,082.74, 409,580.18 and 115,290.69 is: 172,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,082.74 : 409,580.18 = 115,290.69 : x
  2. Step 2: Convert to fraction form
    273,082.74/409,580.18 = 115,290.69/x
  3. Step 3: Cross multiply
    273,082.74x = 409,580.18 × 115,290.69
  4. Step 4: Simplify right side
    273,082.74x = 47,220,781,562.52
  5. Step 5: Solve for x
    x = 47,220,781,562.52/273,082.74
  6. Step 6: Final answer
    x = 172,917.49

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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.