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Finding the Fourth Proportional to 172,152.85, 258,244.15 and 47,493.85

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Solution

The fourth proportional to 172,152.85, 258,244.15 and 47,493.85 is: 71,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,152.85 : 258,244.15 = 47,493.85 : x
  2. Step 2: Convert to fraction form
    172,152.85/258,244.15 = 47,493.85/x
  3. Step 3: Cross multiply
    172,152.85x = 258,244.15 × 47,493.85
  4. Step 4: Simplify right side
    172,152.85x = 12,265,008,923.48
  5. Step 5: Solve for x
    x = 12,265,008,923.48/172,152.85
  6. Step 6: Final answer
    x = 71,244.88

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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.