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Finding the Fourth Proportional to 146,433.39, 202,077.50 and 81,902.72

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Solution

The fourth proportional to 146,433.39, 202,077.50 and 81,902.72 is: 113,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,433.39 : 202,077.50 = 81,902.72 : x
  2. Step 2: Convert to fraction form
    146,433.39/202,077.50 = 81,902.72/x
  3. Step 3: Cross multiply
    146,433.39x = 202,077.50 × 81,902.72
  4. Step 4: Simplify right side
    146,433.39x = 16,550,695,480.90
  5. Step 5: Solve for x
    x = 16,550,695,480.90/146,433.39
  6. Step 6: Final answer
    x = 113,025.42

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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.