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Finding the Fourth Proportional to 138,238.14, 190,769.01 and 77,809.68

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Solution

The fourth proportional to 138,238.14, 190,769.01 and 77,809.68 is: 107,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,238.14 : 190,769.01 = 77,809.68 : x
  2. Step 2: Convert to fraction form
    138,238.14/190,769.01 = 77,809.68/x
  3. Step 3: Cross multiply
    138,238.14x = 190,769.01 × 77,809.68
  4. Step 4: Simplify right side
    138,238.14x = 14,843,675,622.02
  5. Step 5: Solve for x
    x = 14,843,675,622.02/138,238.14
  6. Step 6: Final answer
    x = 107,377.57

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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.