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Finding the Fourth Proportional to 339,843.91, 509,732.88 and 103,188.64

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Solution

The fourth proportional to 339,843.91, 509,732.88 and 103,188.64 is: 154,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,843.91 : 509,732.88 = 103,188.64 : x
  2. Step 2: Convert to fraction form
    339,843.91/509,732.88 = 103,188.64/x
  3. Step 3: Cross multiply
    339,843.91x = 509,732.88 × 103,188.64
  4. Step 4: Simplify right side
    339,843.91x = 52,598,642,650.48
  5. Step 5: Solve for x
    x = 52,598,642,650.48/339,843.91
  6. Step 6: Final answer
    x = 154,772.94

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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.