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Finding the Fourth Proportional to 137,512.20, 189,768.78 and 83,799.48

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Solution

The fourth proportional to 137,512.20, 189,768.78 and 83,799.48 is: 115,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,512.20 : 189,768.78 = 83,799.48 : x
  2. Step 2: Convert to fraction form
    137,512.20/189,768.78 = 83,799.48/x
  3. Step 3: Cross multiply
    137,512.20x = 189,768.78 × 83,799.48
  4. Step 4: Simplify right side
    137,512.20x = 15,902,525,084.23
  5. Step 5: Solve for x
    x = 15,902,525,084.23/137,512.20
  6. Step 6: Final answer
    x = 115,644.47

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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.