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Finding the Fourth Proportional to 272,093.34, 375,431.19 and 164,642.46

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Solution

The fourth proportional to 272,093.34, 375,431.19 and 164,642.46 is: 227,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,093.34 : 375,431.19 = 164,642.46 : x
  2. Step 2: Convert to fraction form
    272,093.34/375,431.19 = 164,642.46/x
  3. Step 3: Cross multiply
    272,093.34x = 375,431.19 × 164,642.46
  4. Step 4: Simplify right side
    272,093.34x = 61,811,914,682.33
  5. Step 5: Solve for x
    x = 61,811,914,682.33/272,093.34
  6. Step 6: Final answer
    x = 227,171.73

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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.