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Finding the Fourth Proportional to 98,105.25, 135,385.26 and 53,393.25

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Solution

The fourth proportional to 98,105.25, 135,385.26 and 53,393.25 is: 73,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,105.25 : 135,385.26 = 53,393.25 : x
  2. Step 2: Convert to fraction form
    98,105.25/135,385.26 = 53,393.25/x
  3. Step 3: Cross multiply
    98,105.25x = 135,385.26 × 53,393.25
  4. Step 4: Simplify right side
    98,105.25x = 7,228,659,033.50
  5. Step 5: Solve for x
    x = 7,228,659,033.50/98,105.25
  6. Step 6: Final answer
    x = 73,682.69

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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.