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Finding the Fourth Proportional to 120,383.34, 180,532.40 and 34,976.42

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Solution

The fourth proportional to 120,383.34, 180,532.40 and 34,976.42 is: 52,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,383.34 : 180,532.40 = 34,976.42 : x
  2. Step 2: Convert to fraction form
    120,383.34/180,532.40 = 34,976.42/x
  3. Step 3: Cross multiply
    120,383.34x = 180,532.40 × 34,976.42
  4. Step 4: Simplify right side
    120,383.34x = 6,314,377,046.01
  5. Step 5: Solve for x
    x = 6,314,377,046.01/120,383.34
  6. Step 6: Final answer
    x = 52,452.25

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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.