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Finding the Fourth Proportional to 167,992, 252,026.88 and 57,184

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Solution

The fourth proportional to 167,992, 252,026.88 and 57,184 is: 85,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,992 : 252,026.88 = 57,184 : x
  2. Step 2: Convert to fraction form
    167,992/252,026.88 = 57,184/x
  3. Step 3: Cross multiply
    167,992x = 252,026.88 × 57,184
  4. Step 4: Simplify right side
    167,992x = 14,411,905,105.92
  5. Step 5: Solve for x
    x = 14,411,905,105.92/167,992
  6. Step 6: Final answer
    x = 85,789.23

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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.