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Finding the Fourth Proportional to 273,467.60, 409,545.30 and 133,062.20

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Solution

The fourth proportional to 273,467.60, 409,545.30 and 133,062.20 is: 199,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,467.60 : 409,545.30 = 133,062.20 : x
  2. Step 2: Convert to fraction form
    273,467.60/409,545.30 = 133,062.20/x
  3. Step 3: Cross multiply
    273,467.60x = 409,545.30 × 133,062.20
  4. Step 4: Simplify right side
    273,467.60x = 54,494,998,617.66
  5. Step 5: Solve for x
    x = 54,494,998,617.66/273,467.60
  6. Step 6: Final answer
    x = 199,274.06

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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.