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Finding the Fourth Proportional to 119,218.43, 178,788.16 and 48,122.71

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Solution

The fourth proportional to 119,218.43, 178,788.16 and 48,122.71 is: 72,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,218.43 : 178,788.16 = 48,122.71 : x
  2. Step 2: Convert to fraction form
    119,218.43/178,788.16 = 48,122.71/x
  3. Step 3: Cross multiply
    119,218.43x = 178,788.16 × 48,122.71
  4. Step 4: Simplify right side
    119,218.43x = 8,603,770,388.30
  5. Step 5: Solve for x
    x = 8,603,770,388.30/119,218.43
  6. Step 6: Final answer
    x = 72,168.12

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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.