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Finding the Fourth Proportional to 339,142.82, 507,934.31 and 189,050.85

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Solution

The fourth proportional to 339,142.82, 507,934.31 and 189,050.85 is: 283,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,142.82 : 507,934.31 = 189,050.85 : x
  2. Step 2: Convert to fraction form
    339,142.82/507,934.31 = 189,050.85/x
  3. Step 3: Cross multiply
    339,142.82x = 507,934.31 × 189,050.85
  4. Step 4: Simplify right side
    339,142.82x = 96,025,412,104.41
  5. Step 5: Solve for x
    x = 96,025,412,104.41/339,142.82
  6. Step 6: Final answer
    x = 283,141.52

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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.