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Finding the Fourth Proportional to 135,408.40, 203,145.04 and 41,914.14

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Solution

The fourth proportional to 135,408.40, 203,145.04 and 41,914.14 is: 62,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,408.40 : 203,145.04 = 41,914.14 : x
  2. Step 2: Convert to fraction form
    135,408.40/203,145.04 = 41,914.14/x
  3. Step 3: Cross multiply
    135,408.40x = 203,145.04 × 41,914.14
  4. Step 4: Simplify right side
    135,408.40x = 8,514,649,646.87
  5. Step 5: Solve for x
    x = 8,514,649,646.87/135,408.40
  6. Step 6: Final answer
    x = 62,881.25

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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.