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Finding the Fourth Proportional to 123,218.31, 184,838.73 and 34,471.56

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Solution

The fourth proportional to 123,218.31, 184,838.73 and 34,471.56 is: 51,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,218.31 : 184,838.73 = 34,471.56 : x
  2. Step 2: Convert to fraction form
    123,218.31/184,838.73 = 34,471.56/x
  3. Step 3: Cross multiply
    123,218.31x = 184,838.73 × 34,471.56
  4. Step 4: Simplify right side
    123,218.31x = 6,371,679,371.52
  5. Step 5: Solve for x
    x = 6,371,679,371.52/123,218.31
  6. Step 6: Final answer
    x = 51,710.49

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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.