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Finding the Fourth Proportional to 98,186, 135,496.68 and 53,474

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Solution

The fourth proportional to 98,186, 135,496.68 and 53,474 is: 73,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,186 : 135,496.68 = 53,474 : x
  2. Step 2: Convert to fraction form
    98,186/135,496.68 = 53,474/x
  3. Step 3: Cross multiply
    98,186x = 135,496.68 × 53,474
  4. Step 4: Simplify right side
    98,186x = 7,245,549,466.32
  5. Step 5: Solve for x
    x = 7,245,549,466.32/98,186
  6. Step 6: Final answer
    x = 73,794.12

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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.