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Finding the Fourth Proportional to 138,200.36, 205,874.28 and 134,018.73

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Solution

The fourth proportional to 138,200.36, 205,874.28 and 134,018.73 is: 199,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,200.36 : 205,874.28 = 134,018.73 : x
  2. Step 2: Convert to fraction form
    138,200.36/205,874.28 = 134,018.73/x
  3. Step 3: Cross multiply
    138,200.36x = 205,874.28 × 134,018.73
  4. Step 4: Simplify right side
    138,200.36x = 27,591,009,545.26
  5. Step 5: Solve for x
    x = 27,591,009,545.26/138,200.36
  6. Step 6: Final answer
    x = 199,645.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.