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Finding the Fourth Proportional to 169,825.92, 254,723.24 and 57,493.32

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Solution

The fourth proportional to 169,825.92, 254,723.24 and 57,493.32 is: 86,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,825.92 : 254,723.24 = 57,493.32 : x
  2. Step 2: Convert to fraction form
    169,825.92/254,723.24 = 57,493.32/x
  3. Step 3: Cross multiply
    169,825.92x = 254,723.24 × 57,493.32
  4. Step 4: Simplify right side
    169,825.92x = 14,644,884,748.76
  5. Step 5: Solve for x
    x = 14,644,884,748.76/169,825.92
  6. Step 6: Final answer
    x = 86,234.69

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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.