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Finding the Fourth Proportional to 339,757.14, 509,697.23 and 139,966.50

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Solution

The fourth proportional to 339,757.14, 509,697.23 and 139,966.50 is: 209,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,757.14 : 509,697.23 = 139,966.50 : x
  2. Step 2: Convert to fraction form
    339,757.14/509,697.23 = 139,966.50/x
  3. Step 3: Cross multiply
    339,757.14x = 509,697.23 × 139,966.50
  4. Step 4: Simplify right side
    339,757.14x = 71,340,536,642.96
  5. Step 5: Solve for x
    x = 71,340,536,642.96/339,757.14
  6. Step 6: Final answer
    x = 209,975.09

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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.