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Finding the Fourth Proportional to 231,234.23, 319,154.72 and 140,571

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Solution

The fourth proportional to 231,234.23, 319,154.72 and 140,571 is: 194,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,234.23 : 319,154.72 = 140,571 : x
  2. Step 2: Convert to fraction form
    231,234.23/319,154.72 = 140,571/x
  3. Step 3: Cross multiply
    231,234.23x = 319,154.72 × 140,571
  4. Step 4: Simplify right side
    231,234.23x = 44,863,897,442.27
  5. Step 5: Solve for x
    x = 44,863,897,442.27/231,234.23
  6. Step 6: Final answer
    x = 194,019.27

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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.