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Finding the Fourth Proportional to 138,942, 208,692.72 and 82,891.62

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Solution

The fourth proportional to 138,942, 208,692.72 and 82,891.62 is: 124,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,942 : 208,692.72 = 82,891.62 : x
  2. Step 2: Convert to fraction form
    138,942/208,692.72 = 82,891.62/x
  3. Step 3: Cross multiply
    138,942x = 208,692.72 × 82,891.62
  4. Step 4: Simplify right side
    138,942x = 17,298,877,643.01
  5. Step 5: Solve for x
    x = 17,298,877,643.01/138,942
  6. Step 6: Final answer
    x = 124,504.31

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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.