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Finding the Fourth Proportional to 269,635.86, 372,031.20 and 164,833.38

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Solution

The fourth proportional to 269,635.86, 372,031.20 and 164,833.38 is: 227,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,635.86 : 372,031.20 = 164,833.38 : x
  2. Step 2: Convert to fraction form
    269,635.86/372,031.20 = 164,833.38/x
  3. Step 3: Cross multiply
    269,635.86x = 372,031.20 × 164,833.38
  4. Step 4: Simplify right side
    269,635.86x = 61,323,160,161.46
  5. Step 5: Solve for x
    x = 61,323,160,161.46/269,635.86
  6. Step 6: Final answer
    x = 227,429.54

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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.