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Finding the Fourth Proportional to 146,447.84, 202,106.74 and 82,791.56

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Solution

The fourth proportional to 146,447.84, 202,106.74 and 82,791.56 is: 114,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,447.84 : 202,106.74 = 82,791.56 : x
  2. Step 2: Convert to fraction form
    146,447.84/202,106.74 = 82,791.56/x
  3. Step 3: Cross multiply
    146,447.84x = 202,106.74 × 82,791.56
  4. Step 4: Simplify right side
    146,447.84x = 16,732,731,877.16
  5. Step 5: Solve for x
    x = 16,732,731,877.16/146,447.84
  6. Step 6: Final answer
    x = 114,257.28

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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.