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Finding the Fourth Proportional to 135,086.16, 202,463.15 and 75,797.27

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Solution

The fourth proportional to 135,086.16, 202,463.15 and 75,797.27 is: 113,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,086.16 : 202,463.15 = 75,797.27 : x
  2. Step 2: Convert to fraction form
    135,086.16/202,463.15 = 75,797.27/x
  3. Step 3: Cross multiply
    135,086.16x = 202,463.15 × 75,797.27
  4. Step 4: Simplify right side
    135,086.16x = 15,346,154,622.50
  5. Step 5: Solve for x
    x = 15,346,154,622.50/135,086.16
  6. Step 6: Final answer
    x = 113,602.72

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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.