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Finding the Fourth Proportional to 197,353.25, 272,353.97 and 107,929.25

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Solution

The fourth proportional to 197,353.25, 272,353.97 and 107,929.25 is: 148,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,353.25 : 272,353.97 = 107,929.25 : x
  2. Step 2: Convert to fraction form
    197,353.25/272,353.97 = 107,929.25/x
  3. Step 3: Cross multiply
    197,353.25x = 272,353.97 × 107,929.25
  4. Step 4: Simplify right side
    197,353.25x = 29,394,959,176.98
  5. Step 5: Solve for x
    x = 29,394,959,176.98/197,353.25
  6. Step 6: Final answer
    x = 148,945.91

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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.