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Finding the Fourth Proportional to 273,463.16, 409,645.28 and 136,272.44

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Solution

The fourth proportional to 273,463.16, 409,645.28 and 136,272.44 is: 204,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,463.16 : 409,645.28 = 136,272.44 : x
  2. Step 2: Convert to fraction form
    273,463.16/409,645.28 = 136,272.44/x
  3. Step 3: Cross multiply
    273,463.16x = 409,645.28 × 136,272.44
  4. Step 4: Simplify right side
    273,463.16x = 55,823,363,204.88
  5. Step 5: Solve for x
    x = 55,823,363,204.88/273,463.16
  6. Step 6: Final answer
    x = 204,134.86

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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.