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Finding the Fourth Proportional to 138,983.34, 191,797.70 and 75,321.14

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Solution

The fourth proportional to 138,983.34, 191,797.70 and 75,321.14 is: 103,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,983.34 : 191,797.70 = 75,321.14 : x
  2. Step 2: Convert to fraction form
    138,983.34/191,797.70 = 75,321.14/x
  3. Step 3: Cross multiply
    138,983.34x = 191,797.70 × 75,321.14
  4. Step 4: Simplify right side
    138,983.34x = 14,446,421,368.49
  5. Step 5: Solve for x
    x = 14,446,421,368.49/138,983.34
  6. Step 6: Final answer
    x = 103,943.54

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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.