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Finding the Fourth Proportional to 98,078.67, 147,174.75 and 41,147.47

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Solution

The fourth proportional to 98,078.67, 147,174.75 and 41,147.47 is: 61,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,078.67 : 147,174.75 = 41,147.47 : x
  2. Step 2: Convert to fraction form
    98,078.67/147,174.75 = 41,147.47/x
  3. Step 3: Cross multiply
    98,078.67x = 147,174.75 × 41,147.47
  4. Step 4: Simplify right side
    98,078.67x = 6,055,868,610.38
  5. Step 5: Solve for x
    x = 6,055,868,610.38/98,078.67
  6. Step 6: Final answer
    x = 61,745.01

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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.