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Finding the Fourth Proportional to 98,119.72, 135,409.38 and 55,682.20

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Solution

The fourth proportional to 98,119.72, 135,409.38 and 55,682.20 is: 76,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,119.72 : 135,409.38 = 55,682.20 : x
  2. Step 2: Convert to fraction form
    98,119.72/135,409.38 = 55,682.20/x
  3. Step 3: Cross multiply
    98,119.72x = 135,409.38 × 55,682.20
  4. Step 4: Simplify right side
    98,119.72x = 7,539,892,179.04
  5. Step 5: Solve for x
    x = 7,539,892,179.04/98,119.72
  6. Step 6: Final answer
    x = 76,843.80

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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.