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Finding the Fourth Proportional to 202,072.48, 278,853.92 and 111,428.40

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Solution

The fourth proportional to 202,072.48, 278,853.92 and 111,428.40 is: 153,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,072.48 : 278,853.92 = 111,428.40 : x
  2. Step 2: Convert to fraction form
    202,072.48/278,853.92 = 111,428.40/x
  3. Step 3: Cross multiply
    202,072.48x = 278,853.92 × 111,428.40
  4. Step 4: Simplify right side
    202,072.48x = 31,072,246,139.33
  5. Step 5: Solve for x
    x = 31,072,246,139.33/202,072.48
  6. Step 6: Final answer
    x = 153,767.83

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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.