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Finding the Fourth Proportional to 123,502.26, 184,745.91 and 98,590.96

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Solution

The fourth proportional to 123,502.26, 184,745.91 and 98,590.96 is: 147,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,502.26 : 184,745.91 = 98,590.96 : x
  2. Step 2: Convert to fraction form
    123,502.26/184,745.91 = 98,590.96/x
  3. Step 3: Cross multiply
    123,502.26x = 184,745.91 × 98,590.96
  4. Step 4: Simplify right side
    123,502.26x = 18,214,276,622.97
  5. Step 5: Solve for x
    x = 18,214,276,622.97/123,502.26
  6. Step 6: Final answer
    x = 147,481.32

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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.