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Finding the Fourth Proportional to 302,268.12, 417,083.82 and 181,383

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Solution

The fourth proportional to 302,268.12, 417,083.82 and 181,383 is: 250,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,268.12 : 417,083.82 = 181,383 : x
  2. Step 2: Convert to fraction form
    302,268.12/417,083.82 = 181,383/x
  3. Step 3: Cross multiply
    302,268.12x = 417,083.82 × 181,383
  4. Step 4: Simplify right side
    302,268.12x = 75,651,914,523.06
  5. Step 5: Solve for x
    x = 75,651,914,523.06/302,268.12
  6. Step 6: Final answer
    x = 250,280.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.