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Finding the Fourth Proportional to 138,945.80, 191,745.25 and 75,283.59

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Solution

The fourth proportional to 138,945.80, 191,745.25 and 75,283.59 is: 103,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,945.80 : 191,745.25 = 75,283.59 : x
  2. Step 2: Convert to fraction form
    138,945.80/191,745.25 = 75,283.59/x
  3. Step 3: Cross multiply
    138,945.80x = 191,745.25 × 75,283.59
  4. Step 4: Simplify right side
    138,945.80x = 14,435,271,316.28
  5. Step 5: Solve for x
    x = 14,435,271,316.28/138,945.80
  6. Step 6: Final answer
    x = 103,891.39

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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.