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Finding the Fourth Proportional to 262,093.88, 361,575.66 and 166,549.28

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Solution

The fourth proportional to 262,093.88, 361,575.66 and 166,549.28 is: 229,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,093.88 : 361,575.66 = 166,549.28 : x
  2. Step 2: Convert to fraction form
    262,093.88/361,575.66 = 166,549.28/x
  3. Step 3: Cross multiply
    262,093.88x = 361,575.66 × 166,549.28
  4. Step 4: Simplify right side
    262,093.88x = 60,220,165,838.52
  5. Step 5: Solve for x
    x = 60,220,165,838.52/262,093.88
  6. Step 6: Final answer
    x = 229,765.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.