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Finding the Fourth Proportional to 98,205.68, 135,520.01 and 60,029.14

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Solution

The fourth proportional to 98,205.68, 135,520.01 and 60,029.14 is: 82,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,205.68 : 135,520.01 = 60,029.14 : x
  2. Step 2: Convert to fraction form
    98,205.68/135,520.01 = 60,029.14/x
  3. Step 3: Cross multiply
    98,205.68x = 135,520.01 × 60,029.14
  4. Step 4: Simplify right side
    98,205.68x = 8,135,149,352.95
  5. Step 5: Solve for x
    x = 8,135,149,352.95/98,205.68
  6. Step 6: Final answer
    x = 82,837.87

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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.