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Finding the Fourth Proportional to 231,147.90, 346,138.65 and 184,491.90

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Solution

The fourth proportional to 231,147.90, 346,138.65 and 184,491.90 is: 276,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,147.90 : 346,138.65 = 184,491.90 : x
  2. Step 2: Convert to fraction form
    231,147.90/346,138.65 = 184,491.90/x
  3. Step 3: Cross multiply
    231,147.90x = 346,138.65 × 184,491.90
  4. Step 4: Simplify right side
    231,147.90x = 63,859,777,201.94
  5. Step 5: Solve for x
    x = 63,859,777,201.94/231,147.90
  6. Step 6: Final answer
    x = 276,272.37

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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.