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Finding the Fourth Proportional to 138,825.36, 191,579.12 and 75,163.20

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Solution

The fourth proportional to 138,825.36, 191,579.12 and 75,163.20 is: 103,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,825.36 : 191,579.12 = 75,163.20 : x
  2. Step 2: Convert to fraction form
    138,825.36/191,579.12 = 75,163.20/x
  3. Step 3: Cross multiply
    138,825.36x = 191,579.12 × 75,163.20
  4. Step 4: Simplify right side
    138,825.36x = 14,399,699,712.38
  5. Step 5: Solve for x
    x = 14,399,699,712.38/138,825.36
  6. Step 6: Final answer
    x = 103,725.28

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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.