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Finding the Fourth Proportional to 344,262.31, 516,194.80 and 133,654.21

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Solution

The fourth proportional to 344,262.31, 516,194.80 and 133,654.21 is: 200,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,262.31 : 516,194.80 = 133,654.21 : x
  2. Step 2: Convert to fraction form
    344,262.31/516,194.80 = 133,654.21/x
  3. Step 3: Cross multiply
    344,262.31x = 516,194.80 × 133,654.21
  4. Step 4: Simplify right side
    344,262.31x = 68,991,608,200.11
  5. Step 5: Solve for x
    x = 68,991,608,200.11/344,262.31
  6. Step 6: Final answer
    x = 200,404.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.