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Finding the Fourth Proportional to 252,103.82, 347,898.80 and 137,383.49

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Solution

The fourth proportional to 252,103.82, 347,898.80 and 137,383.49 is: 189,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,103.82 : 347,898.80 = 137,383.49 : x
  2. Step 2: Convert to fraction form
    252,103.82/347,898.80 = 137,383.49/x
  3. Step 3: Cross multiply
    252,103.82x = 347,898.80 × 137,383.49
  4. Step 4: Simplify right side
    252,103.82x = 47,795,549,914.78
  5. Step 5: Solve for x
    x = 47,795,549,914.78/252,103.82
  6. Step 6: Final answer
    x = 189,586.78

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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.