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Finding the Fourth Proportional to 98,410.89, 135,872.40 and 75,709.83

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Solution

The fourth proportional to 98,410.89, 135,872.40 and 75,709.83 is: 104,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,410.89 : 135,872.40 = 75,709.83 : x
  2. Step 2: Convert to fraction form
    98,410.89/135,872.40 = 75,709.83/x
  3. Step 3: Cross multiply
    98,410.89x = 135,872.40 × 75,709.83
  4. Step 4: Simplify right side
    98,410.89x = 10,286,876,305.69
  5. Step 5: Solve for x
    x = 10,286,876,305.69/98,410.89
  6. Step 6: Final answer
    x = 104,529.86

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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.