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Finding the Fourth Proportional to 339,201.88, 508,876.63 and 102,538.41

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Solution

The fourth proportional to 339,201.88, 508,876.63 and 102,538.41 is: 153,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,201.88 : 508,876.63 = 102,538.41 : x
  2. Step 2: Convert to fraction form
    339,201.88/508,876.63 = 102,538.41/x
  3. Step 3: Cross multiply
    339,201.88x = 508,876.63 × 102,538.41
  4. Step 4: Simplify right side
    339,201.88x = 52,179,398,361.72
  5. Step 5: Solve for x
    x = 52,179,398,361.72/339,201.88
  6. Step 6: Final answer
    x = 153,829.92

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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.