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Finding the Fourth Proportional to 108,133.44, 149,236.83 and 89,952.06

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Solution

The fourth proportional to 108,133.44, 149,236.83 and 89,952.06 is: 124,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,133.44 : 149,236.83 = 89,952.06 : x
  2. Step 2: Convert to fraction form
    108,133.44/149,236.83 = 89,952.06/x
  3. Step 3: Cross multiply
    108,133.44x = 149,236.83 × 89,952.06
  4. Step 4: Simplify right side
    108,133.44x = 13,424,160,286.37
  5. Step 5: Solve for x
    x = 13,424,160,286.37/108,133.44
  6. Step 6: Final answer
    x = 124,144.39

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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.