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Finding the Fourth Proportional to 262,142.44, 361,642.50 and 166,597.96

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Solution

The fourth proportional to 262,142.44, 361,642.50 and 166,597.96 is: 229,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,142.44 : 361,642.50 = 166,597.96 : x
  2. Step 2: Convert to fraction form
    262,142.44/361,642.50 = 166,597.96/x
  3. Step 3: Cross multiply
    262,142.44x = 361,642.50 × 166,597.96
  4. Step 4: Simplify right side
    262,142.44x = 60,248,902,749.30
  5. Step 5: Solve for x
    x = 60,248,902,749.30/262,142.44
  6. Step 6: Final answer
    x = 229,832.69

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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.