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Finding the Fourth Proportional to 117,138.80, 161,648.57 and 65,456.34

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Solution

The fourth proportional to 117,138.80, 161,648.57 and 65,456.34 is: 90,328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,138.80 : 161,648.57 = 65,456.34 : x
  2. Step 2: Convert to fraction form
    117,138.80/161,648.57 = 65,456.34/x
  3. Step 3: Cross multiply
    117,138.80x = 161,648.57 × 65,456.34
  4. Step 4: Simplify right side
    117,138.80x = 10,580,923,758.43
  5. Step 5: Solve for x
    x = 10,580,923,758.43/117,138.80
  6. Step 6: Final answer
    x = 90,328.09

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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.