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Finding the Fourth Proportional to 202,200.76, 303,301.14 and 69,082.12

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Solution

The fourth proportional to 202,200.76, 303,301.14 and 69,082.12 is: 103,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,200.76 : 303,301.14 = 69,082.12 : x
  2. Step 2: Convert to fraction form
    202,200.76/303,301.14 = 69,082.12/x
  3. Step 3: Cross multiply
    202,200.76x = 303,301.14 × 69,082.12
  4. Step 4: Simplify right side
    202,200.76x = 20,952,685,749.62
  5. Step 5: Solve for x
    x = 20,952,685,749.62/202,200.76
  6. Step 6: Final answer
    x = 103,623.18

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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.