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Finding the Fourth Proportional to 182,548.94, 273,692.13 and 82,657.71

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Solution

The fourth proportional to 182,548.94, 273,692.13 and 82,657.71 is: 123,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,548.94 : 273,692.13 = 82,657.71 : x
  2. Step 2: Convert to fraction form
    182,548.94/273,692.13 = 82,657.71/x
  3. Step 3: Cross multiply
    182,548.94x = 273,692.13 × 82,657.71
  4. Step 4: Simplify right side
    182,548.94x = 22,622,764,710.82
  5. Step 5: Solve for x
    x = 22,622,764,710.82/182,548.94
  6. Step 6: Final answer
    x = 123,927.13

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Why These Related Problems?

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