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Finding the Fourth Proportional to 231,538.51, 319,216.84 and 166,953.70

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Solution

The fourth proportional to 231,538.51, 319,216.84 and 166,953.70 is: 230,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,538.51 : 319,216.84 = 166,953.70 : x
  2. Step 2: Convert to fraction form
    231,538.51/319,216.84 = 166,953.70/x
  3. Step 3: Cross multiply
    231,538.51x = 319,216.84 × 166,953.70
  4. Step 4: Simplify right side
    231,538.51x = 53,294,432,540.31
  5. Step 5: Solve for x
    x = 53,294,432,540.31/231,538.51
  6. Step 6: Final answer
    x = 230,175.24

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