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Finding the Fourth Proportional to 138,858.10, 191,623.44 and 75,195.34

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Solution

The fourth proportional to 138,858.10, 191,623.44 and 75,195.34 is: 103,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,858.10 : 191,623.44 = 75,195.34 : x
  2. Step 2: Convert to fraction form
    138,858.10/191,623.44 = 75,195.34/x
  3. Step 3: Cross multiply
    138,858.10x = 191,623.44 × 75,195.34
  4. Step 4: Simplify right side
    138,858.10x = 14,409,189,722.77
  5. Step 5: Solve for x
    x = 14,409,189,722.77/138,858.10
  6. Step 6: Final answer
    x = 103,769.17

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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.