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Finding the Fourth Proportional to 141,280.83, 194,978.39 and 80,870.42

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Solution

The fourth proportional to 141,280.83, 194,978.39 and 80,870.42 is: 111,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,280.83 : 194,978.39 = 80,870.42 : x
  2. Step 2: Convert to fraction form
    141,280.83/194,978.39 = 80,870.42/x
  3. Step 3: Cross multiply
    141,280.83x = 194,978.39 × 80,870.42
  4. Step 4: Simplify right side
    141,280.83x = 15,767,982,910.98
  5. Step 5: Solve for x
    x = 15,767,982,910.98/141,280.83
  6. Step 6: Final answer
    x = 111,607.38

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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.