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Finding the Fourth Proportional to 138,299.34, 190,805.82 and 83,868.12

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Solution

The fourth proportional to 138,299.34, 190,805.82 and 83,868.12 is: 115,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,299.34 : 190,805.82 = 83,868.12 : x
  2. Step 2: Convert to fraction form
    138,299.34/190,805.82 = 83,868.12/x
  3. Step 3: Cross multiply
    138,299.34x = 190,805.82 × 83,868.12
  4. Step 4: Simplify right side
    138,299.34x = 16,002,525,408.46
  5. Step 5: Solve for x
    x = 16,002,525,408.46/138,299.34
  6. Step 6: Final answer
    x = 115,709.34

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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.