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Finding the Fourth Proportional to 202,083.26, 278,876.93 and 111,442.84

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Solution

The fourth proportional to 202,083.26, 278,876.93 and 111,442.84 is: 153,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,083.26 : 278,876.93 = 111,442.84 : x
  2. Step 2: Convert to fraction form
    202,083.26/278,876.93 = 111,442.84/x
  3. Step 3: Cross multiply
    202,083.26x = 278,876.93 × 111,442.84
  4. Step 4: Simplify right side
    202,083.26x = 31,078,835,835.27
  5. Step 5: Solve for x
    x = 31,078,835,835.27/202,083.26
  6. Step 6: Final answer
    x = 153,792.24

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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.