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Finding the Fourth Proportional to 202,078.48, 278,884.20 and 111,442.72

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Solution

The fourth proportional to 202,078.48, 278,884.20 and 111,442.72 is: 153,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,078.48 : 278,884.20 = 111,442.72 : x
  2. Step 2: Convert to fraction form
    202,078.48/278,884.20 = 111,442.72/x
  3. Step 3: Cross multiply
    202,078.48x = 278,884.20 × 111,442.72
  4. Step 4: Simplify right side
    202,078.48x = 31,079,613,813.02
  5. Step 5: Solve for x
    x = 31,079,613,813.02/202,078.48
  6. Step 6: Final answer
    x = 153,799.72

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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.