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Finding the Fourth Proportional to 233,691.42, 322,116.34 and 182,615.38

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Solution

The fourth proportional to 233,691.42, 322,116.34 and 182,615.38 is: 251,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,691.42 : 322,116.34 = 182,615.38 : x
  2. Step 2: Convert to fraction form
    233,691.42/322,116.34 = 182,615.38/x
  3. Step 3: Cross multiply
    233,691.42x = 322,116.34 × 182,615.38
  4. Step 4: Simplify right side
    233,691.42x = 58,823,397,833.31
  5. Step 5: Solve for x
    x = 58,823,397,833.31/233,691.42
  6. Step 6: Final answer
    x = 251,713.98

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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.