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Finding the Fourth Proportional to 100,540.93, 138,711.75 and 64,263.59

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Solution

The fourth proportional to 100,540.93, 138,711.75 and 64,263.59 is: 88,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,540.93 : 138,711.75 = 64,263.59 : x
  2. Step 2: Convert to fraction form
    100,540.93/138,711.75 = 64,263.59/x
  3. Step 3: Cross multiply
    100,540.93x = 138,711.75 × 64,263.59
  4. Step 4: Simplify right side
    100,540.93x = 8,914,115,537.62
  5. Step 5: Solve for x
    x = 8,914,115,537.62/100,540.93
  6. Step 6: Final answer
    x = 88,661.56

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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.