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Finding the Fourth Proportional to 138,167.29, 190,669.30 and 77,738.05

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Solution

The fourth proportional to 138,167.29, 190,669.30 and 77,738.05 is: 107,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,167.29 : 190,669.30 = 77,738.05 : x
  2. Step 2: Convert to fraction form
    138,167.29/190,669.30 = 77,738.05/x
  3. Step 3: Cross multiply
    138,167.29x = 190,669.30 × 77,738.05
  4. Step 4: Simplify right side
    138,167.29x = 14,822,259,576.87
  5. Step 5: Solve for x
    x = 14,822,259,576.87/138,167.29
  6. Step 6: Final answer
    x = 107,277.63

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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.