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Finding the Fourth Proportional to 98,187.75, 135,499.10 and 53,475.75

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Solution

The fourth proportional to 98,187.75, 135,499.10 and 53,475.75 is: 73,796.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,187.75 : 135,499.10 = 53,475.75 : x
  2. Step 2: Convert to fraction form
    98,187.75/135,499.10 = 53,475.75/x
  3. Step 3: Cross multiply
    98,187.75x = 135,499.10 × 53,475.75
  4. Step 4: Simplify right side
    98,187.75x = 7,245,915,729.45
  5. Step 5: Solve for x
    x = 7,245,915,729.45/98,187.75
  6. Step 6: Final answer
    x = 73,796.54

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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.