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Finding the Fourth Proportional to 215,321.60, 322,982.40 and 136,524.80

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Solution

The fourth proportional to 215,321.60, 322,982.40 and 136,524.80 is: 204,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,321.60 : 322,982.40 = 136,524.80 : x
  2. Step 2: Convert to fraction form
    215,321.60/322,982.40 = 136,524.80/x
  3. Step 3: Cross multiply
    215,321.60x = 322,982.40 × 136,524.80
  4. Step 4: Simplify right side
    215,321.60x = 44,095,107,563.52
  5. Step 5: Solve for x
    x = 44,095,107,563.52/215,321.60
  6. Step 6: Final answer
    x = 204,787.20

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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.