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Finding the Fourth Proportional to 273,161.46, 409,727.54 and 83,621.90

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Solution

The fourth proportional to 273,161.46, 409,727.54 and 83,621.90 is: 125,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,161.46 : 409,727.54 = 83,621.90 : x
  2. Step 2: Convert to fraction form
    273,161.46/409,727.54 = 83,621.90/x
  3. Step 3: Cross multiply
    273,161.46x = 409,727.54 × 83,621.90
  4. Step 4: Simplify right side
    273,161.46x = 34,262,195,377.13
  5. Step 5: Solve for x
    x = 34,262,195,377.13/273,161.46
  6. Step 6: Final answer
    x = 125,428.37

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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.