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Finding the Fourth Proportional to 141,131.52, 194,728.32 and 81,504

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Solution

The fourth proportional to 141,131.52, 194,728.32 and 81,504 is: 112,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,131.52 : 194,728.32 = 81,504 : x
  2. Step 2: Convert to fraction form
    141,131.52/194,728.32 = 81,504/x
  3. Step 3: Cross multiply
    141,131.52x = 194,728.32 × 81,504
  4. Step 4: Simplify right side
    141,131.52x = 15,871,136,993.28
  5. Step 5: Solve for x
    x = 15,871,136,993.28/141,131.52
  6. Step 6: Final answer
    x = 112,456.36

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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.