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Finding the Fourth Proportional to 149,202.90, 205,902.62 and 81,221.82

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Solution

The fourth proportional to 149,202.90, 205,902.62 and 81,221.82 is: 112,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,202.90 : 205,902.62 = 81,221.82 : x
  2. Step 2: Convert to fraction form
    149,202.90/205,902.62 = 81,221.82/x
  3. Step 3: Cross multiply
    149,202.90x = 205,902.62 × 81,221.82
  4. Step 4: Simplify right side
    149,202.90x = 16,723,785,133.06
  5. Step 5: Solve for x
    x = 16,723,785,133.06/149,202.90
  6. Step 6: Final answer
    x = 112,087.53

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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.