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Finding the Fourth Proportional to 231,539.76, 319,218.57 and 166,954.95

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Solution

The fourth proportional to 231,539.76, 319,218.57 and 166,954.95 is: 230,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,539.76 : 319,218.57 = 166,954.95 : x
  2. Step 2: Convert to fraction form
    231,539.76/319,218.57 = 166,954.95/x
  3. Step 3: Cross multiply
    231,539.76x = 319,218.57 × 166,954.95
  4. Step 4: Simplify right side
    231,539.76x = 53,295,120,393.42
  5. Step 5: Solve for x
    x = 53,295,120,393.42/231,539.76
  6. Step 6: Final answer
    x = 230,176.97

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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.