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Finding the Fourth Proportional to 98,406, 135,800.28 and 53,694

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Solution

The fourth proportional to 98,406, 135,800.28 and 53,694 is: 74,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,406 : 135,800.28 = 53,694 : x
  2. Step 2: Convert to fraction form
    98,406/135,800.28 = 53,694/x
  3. Step 3: Cross multiply
    98,406x = 135,800.28 × 53,694
  4. Step 4: Simplify right side
    98,406x = 7,291,660,234.32
  5. Step 5: Solve for x
    x = 7,291,660,234.32/98,406
  6. Step 6: Final answer
    x = 74,097.72

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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.