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Finding the Fourth Proportional to 351,523.52, 527,375.16 and 102,205.52

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Solution

The fourth proportional to 351,523.52, 527,375.16 and 102,205.52 is: 153,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,523.52 : 527,375.16 = 102,205.52 : x
  2. Step 2: Convert to fraction form
    351,523.52/527,375.16 = 102,205.52/x
  3. Step 3: Cross multiply
    351,523.52x = 527,375.16 × 102,205.52
  4. Step 4: Simplify right side
    351,523.52x = 53,900,652,462.88
  5. Step 5: Solve for x
    x = 53,900,652,462.88/351,523.52
  6. Step 6: Final answer
    x = 153,334.41

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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.