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Finding the Fourth Proportional to 154,861.65, 232,243.27 and 105,260.49

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Solution

The fourth proportional to 154,861.65, 232,243.27 and 105,260.49 is: 157,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,861.65 : 232,243.27 = 105,260.49 : x
  2. Step 2: Convert to fraction form
    154,861.65/232,243.27 = 105,260.49/x
  3. Step 3: Cross multiply
    154,861.65x = 232,243.27 × 105,260.49
  4. Step 4: Simplify right side
    154,861.65x = 24,446,040,399.40
  5. Step 5: Solve for x
    x = 24,446,040,399.40/154,861.65
  6. Step 6: Final answer
    x = 157,857.29

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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.