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Finding the Fourth Proportional to 141,094.56, 194,680.08 and 81,444

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Solution

The fourth proportional to 141,094.56, 194,680.08 and 81,444 is: 112,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,094.56 : 194,680.08 = 81,444 : x
  2. Step 2: Convert to fraction form
    141,094.56/194,680.08 = 81,444/x
  3. Step 3: Cross multiply
    141,094.56x = 194,680.08 × 81,444
  4. Step 4: Simplify right side
    141,094.56x = 15,855,524,435.52
  5. Step 5: Solve for x
    x = 15,855,524,435.52/141,094.56
  6. Step 6: Final answer
    x = 112,375.16

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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.