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Finding the Fourth Proportional to 169,083.22, 253,616.12 and 56,764.30

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Solution

The fourth proportional to 169,083.22, 253,616.12 and 56,764.30 is: 85,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,083.22 : 253,616.12 = 56,764.30 : x
  2. Step 2: Convert to fraction form
    169,083.22/253,616.12 = 56,764.30/x
  3. Step 3: Cross multiply
    169,083.22x = 253,616.12 × 56,764.30
  4. Step 4: Simplify right side
    169,083.22x = 14,396,341,520.52
  5. Step 5: Solve for x
    x = 14,396,341,520.52/169,083.22
  6. Step 6: Final answer
    x = 85,143.53

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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.