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Finding the Fourth Proportional to 172,086.44, 258,166.10 and 53,766.70

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Solution

The fourth proportional to 172,086.44, 258,166.10 and 53,766.70 is: 80,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,086.44 : 258,166.10 = 53,766.70 : x
  2. Step 2: Convert to fraction form
    172,086.44/258,166.10 = 53,766.70/x
  3. Step 3: Cross multiply
    172,086.44x = 258,166.10 × 53,766.70
  4. Step 4: Simplify right side
    172,086.44x = 13,880,739,248.87
  5. Step 5: Solve for x
    x = 13,880,739,248.87/172,086.44
  6. Step 6: Final answer
    x = 80,661.44

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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.