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Finding the Fourth Proportional to 218,803.60, 328,205.40 and 119,270.80

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Solution

The fourth proportional to 218,803.60, 328,205.40 and 119,270.80 is: 178,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,803.60 : 328,205.40 = 119,270.80 : x
  2. Step 2: Convert to fraction form
    218,803.60/328,205.40 = 119,270.80/x
  3. Step 3: Cross multiply
    218,803.60x = 328,205.40 × 119,270.80
  4. Step 4: Simplify right side
    218,803.60x = 39,145,320,622.32
  5. Step 5: Solve for x
    x = 39,145,320,622.32/218,803.60
  6. Step 6: Final answer
    x = 178,906.20

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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.