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Finding the Fourth Proportional to 117,027.78, 175,640.13 and 109,646.66

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Solution

The fourth proportional to 117,027.78, 175,640.13 and 109,646.66 is: 164,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,027.78 : 175,640.13 = 109,646.66 : x
  2. Step 2: Convert to fraction form
    117,027.78/175,640.13 = 109,646.66/x
  3. Step 3: Cross multiply
    117,027.78x = 175,640.13 × 109,646.66
  4. Step 4: Simplify right side
    117,027.78x = 19,258,352,738.27
  5. Step 5: Solve for x
    x = 19,258,352,738.27/117,027.78
  6. Step 6: Final answer
    x = 164,562.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.