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Finding the Fourth Proportional to 98,078.17, 147,174 and 41,146.97

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Solution

The fourth proportional to 98,078.17, 147,174 and 41,146.97 is: 61,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,078.17 : 147,174 = 41,146.97 : x
  2. Step 2: Convert to fraction form
    98,078.17/147,174 = 41,146.97/x
  3. Step 3: Cross multiply
    98,078.17x = 147,174 × 41,146.97
  4. Step 4: Simplify right side
    98,078.17x = 6,055,764,162.78
  5. Step 5: Solve for x
    x = 6,055,764,162.78/98,078.17
  6. Step 6: Final answer
    x = 61,744.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.