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Finding the Fourth Proportional to 202,959.39, 280,078.25 and 112,319.13

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Solution

The fourth proportional to 202,959.39, 280,078.25 and 112,319.13 is: 154,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,959.39 : 280,078.25 = 112,319.13 : x
  2. Step 2: Convert to fraction form
    202,959.39/280,078.25 = 112,319.13/x
  3. Step 3: Cross multiply
    202,959.39x = 280,078.25 × 112,319.13
  4. Step 4: Simplify right side
    202,959.39x = 31,458,144,810.33
  5. Step 5: Solve for x
    x = 31,458,144,810.33/202,959.39
  6. Step 6: Final answer
    x = 154,997.24

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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.