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Finding the Fourth Proportional to 135,337.96, 203,026.40 and 41,851

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Solution

The fourth proportional to 135,337.96, 203,026.40 and 41,851 is: 62,782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,337.96 : 203,026.40 = 41,851 : x
  2. Step 2: Convert to fraction form
    135,337.96/203,026.40 = 41,851/x
  3. Step 3: Cross multiply
    135,337.96x = 203,026.40 × 41,851
  4. Step 4: Simplify right side
    135,337.96x = 8,496,857,866.40
  5. Step 5: Solve for x
    x = 8,496,857,866.40/135,337.96
  6. Step 6: Final answer
    x = 62,782.52

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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.