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Finding the Fourth Proportional to 195,321.84, 292,994.20 and 75,379.42

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Solution

The fourth proportional to 195,321.84, 292,994.20 and 75,379.42 is: 113,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,321.84 : 292,994.20 = 75,379.42 : x
  2. Step 2: Convert to fraction form
    195,321.84/292,994.20 = 75,379.42/x
  3. Step 3: Cross multiply
    195,321.84x = 292,994.20 × 75,379.42
  4. Step 4: Simplify right side
    195,321.84x = 22,085,732,221.10
  5. Step 5: Solve for x
    x = 22,085,732,221.10/195,321.84
  6. Step 6: Final answer
    x = 113,073.54

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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.