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Finding the Fourth Proportional to 98,186.38, 135,497.20 and 53,474.38

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Solution

The fourth proportional to 98,186.38, 135,497.20 and 53,474.38 is: 73,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,186.38 : 135,497.20 = 53,474.38 : x
  2. Step 2: Convert to fraction form
    98,186.38/135,497.20 = 53,474.38/x
  3. Step 3: Cross multiply
    98,186.38x = 135,497.20 × 53,474.38
  4. Step 4: Simplify right side
    98,186.38x = 7,245,628,084.25
  5. Step 5: Solve for x
    x = 7,245,628,084.25/98,186.38
  6. Step 6: Final answer
    x = 73,794.64

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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.