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Finding the Fourth Proportional to 202,904.73, 280,098.20 and 121,261.79

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Solution

The fourth proportional to 202,904.73, 280,098.20 and 121,261.79 is: 167,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,904.73 : 280,098.20 = 121,261.79 : x
  2. Step 2: Convert to fraction form
    202,904.73/280,098.20 = 121,261.79/x
  3. Step 3: Cross multiply
    202,904.73x = 280,098.20 × 121,261.79
  4. Step 4: Simplify right side
    202,904.73x = 33,965,207,100.98
  5. Step 5: Solve for x
    x = 33,965,207,100.98/202,904.73
  6. Step 6: Final answer
    x = 167,394.85

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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.