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Finding the Fourth Proportional to 513,342.25, 769,954.54 and 134,299.56

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Solution

The fourth proportional to 513,342.25, 769,954.54 and 134,299.56 is: 201,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,342.25 : 769,954.54 = 134,299.56 : x
  2. Step 2: Convert to fraction form
    513,342.25/769,954.54 = 134,299.56/x
  3. Step 3: Cross multiply
    513,342.25x = 769,954.54 × 134,299.56
  4. Step 4: Simplify right side
    513,342.25x = 103,404,552,092.23
  5. Step 5: Solve for x
    x = 103,404,552,092.23/513,342.25
  6. Step 6: Final answer
    x = 201,433.94

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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.