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Finding the Fourth Proportional to 215,230.40, 322,640.80 and 167,819.20

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Solution

The fourth proportional to 215,230.40, 322,640.80 and 167,819.20 is: 251,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,230.40 : 322,640.80 = 167,819.20 : x
  2. Step 2: Convert to fraction form
    215,230.40/322,640.80 = 167,819.20/x
  3. Step 3: Cross multiply
    215,230.40x = 322,640.80 × 167,819.20
  4. Step 4: Simplify right side
    215,230.40x = 54,145,320,943.36
  5. Step 5: Solve for x
    x = 54,145,320,943.36/215,230.40
  6. Step 6: Final answer
    x = 251,569.11

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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.