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Finding the Fourth Proportional to 231,182, 319,031.54 and 125,198

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Solution

The fourth proportional to 231,182, 319,031.54 and 125,198 is: 172,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,182 : 319,031.54 = 125,198 : x
  2. Step 2: Convert to fraction form
    231,182/319,031.54 = 125,198/x
  3. Step 3: Cross multiply
    231,182x = 319,031.54 × 125,198
  4. Step 4: Simplify right side
    231,182x = 39,942,110,744.92
  5. Step 5: Solve for x
    x = 39,942,110,744.92/231,182
  6. Step 6: Final answer
    x = 172,773.45

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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.