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Finding the Fourth Proportional to 168,069, 252,146.70 and 57,261

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Solution

The fourth proportional to 168,069, 252,146.70 and 57,261 is: 85,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,069 : 252,146.70 = 57,261 : x
  2. Step 2: Convert to fraction form
    168,069/252,146.70 = 57,261/x
  3. Step 3: Cross multiply
    168,069x = 252,146.70 × 57,261
  4. Step 4: Simplify right side
    168,069x = 14,438,172,188.70
  5. Step 5: Solve for x
    x = 14,438,172,188.70/168,069
  6. Step 6: Final answer
    x = 85,906.22

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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.