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Finding the Fourth Proportional to 202,123.30, 303,294.30 and 83,806.60

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Solution

The fourth proportional to 202,123.30, 303,294.30 and 83,806.60 is: 125,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,123.30 : 303,294.30 = 83,806.60 : x
  2. Step 2: Convert to fraction form
    202,123.30/303,294.30 = 83,806.60/x
  3. Step 3: Cross multiply
    202,123.30x = 303,294.30 × 83,806.60
  4. Step 4: Simplify right side
    202,123.30x = 25,418,064,082.38
  5. Step 5: Solve for x
    x = 25,418,064,082.38/202,123.30
  6. Step 6: Final answer
    x = 125,755.24

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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.