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Finding the Fourth Proportional to 185,902.40, 278,853.60 and 115,821.20

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Solution

The fourth proportional to 185,902.40, 278,853.60 and 115,821.20 is: 173,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,902.40 : 278,853.60 = 115,821.20 : x
  2. Step 2: Convert to fraction form
    185,902.40/278,853.60 = 115,821.20/x
  3. Step 3: Cross multiply
    185,902.40x = 278,853.60 × 115,821.20
  4. Step 4: Simplify right side
    185,902.40x = 32,297,158,576.32
  5. Step 5: Solve for x
    x = 32,297,158,576.32/185,902.40
  6. Step 6: Final answer
    x = 173,731.80

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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.