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Finding the Fourth Proportional to 231,132.40, 346,115.40 and 184,476.40

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Solution

The fourth proportional to 231,132.40, 346,115.40 and 184,476.40 is: 276,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,132.40 : 346,115.40 = 184,476.40 : x
  2. Step 2: Convert to fraction form
    231,132.40/346,115.40 = 184,476.40/x
  3. Step 3: Cross multiply
    231,132.40x = 346,115.40 × 184,476.40
  4. Step 4: Simplify right side
    231,132.40x = 63,850,122,976.56
  5. Step 5: Solve for x
    x = 63,850,122,976.56/231,132.40
  6. Step 6: Final answer
    x = 276,249.12

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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.