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Finding the Fourth Proportional to 230,000.42, 344,883.96 and 105,234.50

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Solution

The fourth proportional to 230,000.42, 344,883.96 and 105,234.50 is: 157,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,000.42 : 344,883.96 = 105,234.50 : x
  2. Step 2: Convert to fraction form
    230,000.42/344,883.96 = 105,234.50/x
  3. Step 3: Cross multiply
    230,000.42x = 344,883.96 × 105,234.50
  4. Step 4: Simplify right side
    230,000.42x = 36,293,691,088.62
  5. Step 5: Solve for x
    x = 36,293,691,088.62/230,000.42
  6. Step 6: Final answer
    x = 157,798.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.