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Finding the Fourth Proportional to 292,414.49, 438,637.20 and 82,068.83

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Solution

The fourth proportional to 292,414.49, 438,637.20 and 82,068.83 is: 123,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,414.49 : 438,637.20 = 82,068.83 : x
  2. Step 2: Convert to fraction form
    292,414.49/438,637.20 = 82,068.83/x
  3. Step 3: Cross multiply
    292,414.49x = 438,637.20 × 82,068.83
  4. Step 4: Simplify right side
    292,414.49x = 35,998,439,194.95
  5. Step 5: Solve for x
    x = 35,998,439,194.95/292,414.49
  6. Step 6: Final answer
    x = 123,107.58

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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.