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Finding the Fourth Proportional to 138,983.56, 191,796.50 and 75,321.32

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Solution

The fourth proportional to 138,983.56, 191,796.50 and 75,321.32 is: 103,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,983.56 : 191,796.50 = 75,321.32 : x
  2. Step 2: Convert to fraction form
    138,983.56/191,796.50 = 75,321.32/x
  3. Step 3: Cross multiply
    138,983.56x = 191,796.50 × 75,321.32
  4. Step 4: Simplify right side
    138,983.56x = 14,446,365,551.38
  5. Step 5: Solve for x
    x = 14,446,365,551.38/138,983.56
  6. Step 6: Final answer
    x = 103,942.98

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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.