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Finding the Fourth Proportional to 140,705.38, 194,146.41 and 95,420.26

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Solution

The fourth proportional to 140,705.38, 194,146.41 and 95,420.26 is: 131,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,705.38 : 194,146.41 = 95,420.26 : x
  2. Step 2: Convert to fraction form
    140,705.38/194,146.41 = 95,420.26/x
  3. Step 3: Cross multiply
    140,705.38x = 194,146.41 × 95,420.26
  4. Step 4: Simplify right side
    140,705.38x = 18,525,500,920.27
  5. Step 5: Solve for x
    x = 18,525,500,920.27/140,705.38
  6. Step 6: Final answer
    x = 131,661.64

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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.