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Finding the Fourth Proportional to 135,086.40, 202,641.12 and 35,259.84

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Solution

The fourth proportional to 135,086.40, 202,641.12 and 35,259.84 is: 52,892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,086.40 : 202,641.12 = 35,259.84 : x
  2. Step 2: Convert to fraction form
    135,086.40/202,641.12 = 35,259.84/x
  3. Step 3: Cross multiply
    135,086.40x = 202,641.12 × 35,259.84
  4. Step 4: Simplify right side
    135,086.40x = 7,145,093,468.62
  5. Step 5: Solve for x
    x = 7,145,093,468.62/135,086.40
  6. Step 6: Final answer
    x = 52,892.77

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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.