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Finding the Fourth Proportional to 231,911.66, 320,682.30 and 184,081.97

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Solution

The fourth proportional to 231,911.66, 320,682.30 and 184,081.97 is: 254,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,911.66 : 320,682.30 = 184,081.97 : x
  2. Step 2: Convert to fraction form
    231,911.66/320,682.30 = 184,081.97/x
  3. Step 3: Cross multiply
    231,911.66x = 320,682.30 × 184,081.97
  4. Step 4: Simplify right side
    231,911.66x = 59,031,829,528.13
  5. Step 5: Solve for x
    x = 59,031,829,528.13/231,911.66
  6. Step 6: Final answer
    x = 254,544.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.