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Finding the Fourth Proportional to 135,082.70, 202,500.20 and 51,914.06

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Solution

The fourth proportional to 135,082.70, 202,500.20 and 51,914.06 is: 77,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,082.70 : 202,500.20 = 51,914.06 : x
  2. Step 2: Convert to fraction form
    135,082.70/202,500.20 = 51,914.06/x
  3. Step 3: Cross multiply
    135,082.70x = 202,500.20 × 51,914.06
  4. Step 4: Simplify right side
    135,082.70x = 10,512,607,532.81
  5. Step 5: Solve for x
    x = 10,512,607,532.81/135,082.70
  6. Step 6: Final answer
    x = 77,823.49

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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.