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Finding the Fourth Proportional to 273,098.40, 409,906.80 and 168,122.40

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Solution

The fourth proportional to 273,098.40, 409,906.80 and 168,122.40 is: 252,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,098.40 : 409,906.80 = 168,122.40 : x
  2. Step 2: Convert to fraction form
    273,098.40/409,906.80 = 168,122.40/x
  3. Step 3: Cross multiply
    273,098.40x = 409,906.80 × 168,122.40
  4. Step 4: Simplify right side
    273,098.40x = 68,914,514,992.32
  5. Step 5: Solve for x
    x = 68,914,514,992.32/273,098.40
  6. Step 6: Final answer
    x = 252,343.17

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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.