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Finding the Fourth Proportional to 101,649.84, 140,410.53 and 78,067.89

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Solution

The fourth proportional to 101,649.84, 140,410.53 and 78,067.89 is: 107,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,649.84 : 140,410.53 = 78,067.89 : x
  2. Step 2: Convert to fraction form
    101,649.84/140,410.53 = 78,067.89/x
  3. Step 3: Cross multiply
    101,649.84x = 140,410.53 × 78,067.89
  4. Step 4: Simplify right side
    101,649.84x = 10,961,553,810.88
  5. Step 5: Solve for x
    x = 10,961,553,810.88/101,649.84
  6. Step 6: Final answer
    x = 107,836.41

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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.