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Finding the Fourth Proportional to 141,190.21, 194,846.48 and 83,815.48

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Solution

The fourth proportional to 141,190.21, 194,846.48 and 83,815.48 is: 115,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,190.21 : 194,846.48 = 83,815.48 : x
  2. Step 2: Convert to fraction form
    141,190.21/194,846.48 = 83,815.48/x
  3. Step 3: Cross multiply
    141,190.21x = 194,846.48 × 83,815.48
  4. Step 4: Simplify right side
    141,190.21x = 16,331,151,247.51
  5. Step 5: Solve for x
    x = 16,331,151,247.51/141,190.21
  6. Step 6: Final answer
    x = 115,667.73

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1.5x scale

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.