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Finding the Fourth Proportional to 135,089.86, 202,634.88 and 35,249.80

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Solution

The fourth proportional to 135,089.86, 202,634.88 and 35,249.80 is: 52,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,089.86 : 202,634.88 = 35,249.80 : x
  2. Step 2: Convert to fraction form
    135,089.86/202,634.88 = 35,249.80/x
  3. Step 3: Cross multiply
    135,089.86x = 202,634.88 × 35,249.80
  4. Step 4: Simplify right side
    135,089.86x = 7,142,838,993.02
  5. Step 5: Solve for x
    x = 7,142,838,993.02/135,089.86
  6. Step 6: Final answer
    x = 52,874.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.