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Finding the Fourth Proportional to 185,398.75, 277,933.20 and 67,043.80

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Solution

The fourth proportional to 185,398.75, 277,933.20 and 67,043.80 is: 100,506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,398.75 : 277,933.20 = 67,043.80 : x
  2. Step 2: Convert to fraction form
    185,398.75/277,933.20 = 67,043.80/x
  3. Step 3: Cross multiply
    185,398.75x = 277,933.20 × 67,043.80
  4. Step 4: Simplify right side
    185,398.75x = 18,633,697,874.16
  5. Step 5: Solve for x
    x = 18,633,697,874.16/185,398.75
  6. Step 6: Final answer
    x = 100,506.06

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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.