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Finding the Fourth Proportional to 106,936.50, 147,611.31 and 62,224.50

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Solution

The fourth proportional to 106,936.50, 147,611.31 and 62,224.50 is: 85,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,936.50 : 147,611.31 = 62,224.50 : x
  2. Step 2: Convert to fraction form
    106,936.50/147,611.31 = 62,224.50/x
  3. Step 3: Cross multiply
    106,936.50x = 147,611.31 × 62,224.50
  4. Step 4: Simplify right side
    106,936.50x = 9,185,039,959.10
  5. Step 5: Solve for x
    x = 9,185,039,959.10/106,936.50
  6. Step 6: Final answer
    x = 85,892.47

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Why These Related Problems?

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