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Finding the Fourth Proportional to 339,851.36, 509,744.00 and 103,196.09

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Solution

The fourth proportional to 339,851.36, 509,744.00 and 103,196.09 is: 154,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,851.36 : 509,744.00 = 103,196.09 : x
  2. Step 2: Convert to fraction form
    339,851.36/509,744.00 = 103,196.09/x
  3. Step 3: Cross multiply
    339,851.36x = 509,744.00 × 103,196.09
  4. Step 4: Simplify right side
    339,851.36x = 52,603,589,233.31
  5. Step 5: Solve for x
    x = 52,603,589,233.31/339,851.36
  6. Step 6: Final answer
    x = 154,784.11

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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.