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Finding the Fourth Proportional to 231,540.27, 319,575.23 and 150,823.77

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Solution

The fourth proportional to 231,540.27, 319,575.23 and 150,823.77 is: 208,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,540.27 : 319,575.23 = 150,823.77 : x
  2. Step 2: Convert to fraction form
    231,540.27/319,575.23 = 150,823.77/x
  3. Step 3: Cross multiply
    231,540.27x = 319,575.23 × 150,823.77
  4. Step 4: Simplify right side
    231,540.27x = 48,199,540,233.10
  5. Step 5: Solve for x
    x = 48,199,540,233.10/231,540.27
  6. Step 6: Final answer
    x = 208,169.15

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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.