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Finding the Fourth Proportional to 202,082.48, 278,889.72 and 111,446.72

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Solution

The fourth proportional to 202,082.48, 278,889.72 and 111,446.72 is: 153,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,082.48 : 278,889.72 = 111,446.72 : x
  2. Step 2: Convert to fraction form
    202,082.48/278,889.72 = 111,446.72/x
  3. Step 3: Cross multiply
    202,082.48x = 278,889.72 × 111,446.72
  4. Step 4: Simplify right side
    202,082.48x = 31,081,344,535.72
  5. Step 5: Solve for x
    x = 31,081,344,535.72/202,082.48
  6. Step 6: Final answer
    x = 153,805.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.