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Finding the Fourth Proportional to 98,167.65, 135,467.78 and 59,991.11

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Solution

The fourth proportional to 98,167.65, 135,467.78 and 59,991.11 is: 82,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,167.65 : 135,467.78 = 59,991.11 : x
  2. Step 2: Convert to fraction form
    98,167.65/135,467.78 = 59,991.11/x
  3. Step 3: Cross multiply
    98,167.65x = 135,467.78 × 59,991.11
  4. Step 4: Simplify right side
    98,167.65x = 8,126,861,514.14
  5. Step 5: Solve for x
    x = 8,126,861,514.14/98,167.65
  6. Step 6: Final answer
    x = 82,785.54

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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.