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Finding the Fourth Proportional to 185,828.80, 278,768.80 and 80,644.80

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Solution

The fourth proportional to 185,828.80, 278,768.80 and 80,644.80 is: 120,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,828.80 : 278,768.80 = 80,644.80 : x
  2. Step 2: Convert to fraction form
    185,828.80/278,768.80 = 80,644.80/x
  3. Step 3: Cross multiply
    185,828.80x = 278,768.80 × 80,644.80
  4. Step 4: Simplify right side
    185,828.80x = 22,481,254,122.24
  5. Step 5: Solve for x
    x = 22,481,254,122.24/185,828.80
  6. Step 6: Final answer
    x = 120,978.31

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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.