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Finding the Fourth Proportional to 138,698.36, 191,389.77 and 78,265.41

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Solution

The fourth proportional to 138,698.36, 191,389.77 and 78,265.41 is: 107,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,698.36 : 191,389.77 = 78,265.41 : x
  2. Step 2: Convert to fraction form
    138,698.36/191,389.77 = 78,265.41/x
  3. Step 3: Cross multiply
    138,698.36x = 191,389.77 × 78,265.41
  4. Step 4: Simplify right side
    138,698.36x = 14,979,198,101.14
  5. Step 5: Solve for x
    x = 14,979,198,101.14/138,698.36
  6. Step 6: Final answer
    x = 107,998.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.