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Finding the Fourth Proportional to 231,233.32, 319,138.50 and 140,617.72

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Solution

The fourth proportional to 231,233.32, 319,138.50 and 140,617.72 is: 194,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,233.32 : 319,138.50 = 140,617.72 : x
  2. Step 2: Convert to fraction form
    231,233.32/319,138.50 = 140,617.72/x
  3. Step 3: Cross multiply
    231,233.32x = 319,138.50 × 140,617.72
  4. Step 4: Simplify right side
    231,233.32x = 44,876,528,234.22
  5. Step 5: Solve for x
    x = 44,876,528,234.22/231,233.32
  6. Step 6: Final answer
    x = 194,074.66

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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.