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Finding the Fourth Proportional to 138,529.36, 191,180.36 and 78,105.63

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Solution

The fourth proportional to 138,529.36, 191,180.36 and 78,105.63 is: 107,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,529.36 : 191,180.36 = 78,105.63 : x
  2. Step 2: Convert to fraction form
    138,529.36/191,180.36 = 78,105.63/x
  3. Step 3: Cross multiply
    138,529.36x = 191,180.36 × 78,105.63
  4. Step 4: Simplify right side
    138,529.36x = 14,932,262,676.91
  5. Step 5: Solve for x
    x = 14,932,262,676.91/138,529.36
  6. Step 6: Final answer
    x = 107,791.32

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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.