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Finding the Fourth Proportional to 252,202.10, 348,034.13 and 137,481.80

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Solution

The fourth proportional to 252,202.10, 348,034.13 and 137,481.80 is: 189,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,202.10 : 348,034.13 = 137,481.80 : x
  2. Step 2: Convert to fraction form
    252,202.10/348,034.13 = 137,481.80/x
  3. Step 3: Cross multiply
    252,202.10x = 348,034.13 × 137,481.80
  4. Step 4: Simplify right side
    252,202.10x = 47,848,356,226.25
  5. Step 5: Solve for x
    x = 47,848,356,226.25/252,202.10
  6. Step 6: Final answer
    x = 189,722.28

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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.