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Finding the Fourth Proportional to 135,052.60, 202,287.30 and 87,813.40

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Solution

The fourth proportional to 135,052.60, 202,287.30 and 87,813.40 is: 131,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,052.60 : 202,287.30 = 87,813.40 : x
  2. Step 2: Convert to fraction form
    135,052.60/202,287.30 = 87,813.40/x
  3. Step 3: Cross multiply
    135,052.60x = 202,287.30 × 87,813.40
  4. Step 4: Simplify right side
    135,052.60x = 17,763,535,589.82
  5. Step 5: Solve for x
    x = 17,763,535,589.82/135,052.60
  6. Step 6: Final answer
    x = 131,530.50

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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.