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Finding the Fourth Proportional to 135,099.86, 202,649.88 and 35,259.80

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Solution

The fourth proportional to 135,099.86, 202,649.88 and 35,259.80 is: 52,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,099.86 : 202,649.88 = 35,259.80 : x
  2. Step 2: Convert to fraction form
    135,099.86/202,649.88 = 35,259.80/x
  3. Step 3: Cross multiply
    135,099.86x = 202,649.88 × 35,259.80
  4. Step 4: Simplify right side
    135,099.86x = 7,145,394,238.82
  5. Step 5: Solve for x
    x = 7,145,394,238.82/135,099.86
  6. Step 6: Final answer
    x = 52,889.72

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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.