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Finding the Fourth Proportional to 105,233.46, 157,642.02 and 55,238.64

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Solution

The fourth proportional to 105,233.46, 157,642.02 and 55,238.64 is: 82,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,233.46 : 157,642.02 = 55,238.64 : x
  2. Step 2: Convert to fraction form
    105,233.46/157,642.02 = 55,238.64/x
  3. Step 3: Cross multiply
    105,233.46x = 157,642.02 × 55,238.64
  4. Step 4: Simplify right side
    105,233.46x = 8,707,930,791.65
  5. Step 5: Solve for x
    x = 8,707,930,791.65/105,233.46
  6. Step 6: Final answer
    x = 82,748.69

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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.