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Finding the Fourth Proportional to 123,433, 185,158.14 and 49,561

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Solution

The fourth proportional to 123,433, 185,158.14 and 49,561 is: 74,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,433 : 185,158.14 = 49,561 : x
  2. Step 2: Convert to fraction form
    123,433/185,158.14 = 49,561/x
  3. Step 3: Cross multiply
    123,433x = 185,158.14 × 49,561
  4. Step 4: Simplify right side
    123,433x = 9,176,622,576.54
  5. Step 5: Solve for x
    x = 9,176,622,576.54/123,433
  6. Step 6: Final answer
    x = 74,344.97

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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.