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Finding the Fourth Proportional to 218,714.80, 328,072.20 and 78,455.20

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Solution

The fourth proportional to 218,714.80, 328,072.20 and 78,455.20 is: 117,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,714.80 : 328,072.20 = 78,455.20 : x
  2. Step 2: Convert to fraction form
    218,714.80/328,072.20 = 78,455.20/x
  3. Step 3: Cross multiply
    218,714.80x = 328,072.20 × 78,455.20
  4. Step 4: Simplify right side
    218,714.80x = 25,738,970,065.44
  5. Step 5: Solve for x
    x = 25,738,970,065.44/218,714.80
  6. Step 6: Final answer
    x = 117,682.80

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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.