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Finding the Fourth Proportional to 102,198.97, 141,024.81 and 75,355.98

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Solution

The fourth proportional to 102,198.97, 141,024.81 and 75,355.98 is: 103,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,198.97 : 141,024.81 = 75,355.98 : x
  2. Step 2: Convert to fraction form
    102,198.97/141,024.81 = 75,355.98/x
  3. Step 3: Cross multiply
    102,198.97x = 141,024.81 × 75,355.98
  4. Step 4: Simplify right side
    102,198.97x = 10,627,062,761.86
  5. Step 5: Solve for x
    x = 10,627,062,761.86/102,198.97
  6. Step 6: Final answer
    x = 103,984.05

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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.