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Finding the Fourth Proportional to 202,128.50, 278,963.10 and 168,078.39

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Solution

The fourth proportional to 202,128.50, 278,963.10 and 168,078.39 is: 231,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,128.50 : 278,963.10 = 168,078.39 : x
  2. Step 2: Convert to fraction form
    202,128.50/278,963.10 = 168,078.39/x
  3. Step 3: Cross multiply
    202,128.50x = 278,963.10 × 168,078.39
  4. Step 4: Simplify right side
    202,128.50x = 46,887,668,717.41
  5. Step 5: Solve for x
    x = 46,887,668,717.41/202,128.50
  6. Step 6: Final answer
    x = 231,969.61

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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.