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Finding the Fourth Proportional to 98,019.29, 146,832.06 and 82,961.84

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Solution

The fourth proportional to 98,019.29, 146,832.06 and 82,961.84 is: 124,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,019.29 : 146,832.06 = 82,961.84 : x
  2. Step 2: Convert to fraction form
    98,019.29/146,832.06 = 82,961.84/x
  3. Step 3: Cross multiply
    98,019.29x = 146,832.06 × 82,961.84
  4. Step 4: Simplify right side
    98,019.29x = 12,181,458,546.78
  5. Step 5: Solve for x
    x = 12,181,458,546.78/98,019.29
  6. Step 6: Final answer
    x = 124,276.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.