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Finding the Fourth Proportional to 202,959.37, 280,077.02 and 112,319.16

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Solution

The fourth proportional to 202,959.37, 280,077.02 and 112,319.16 is: 154,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,959.37 : 280,077.02 = 112,319.16 : x
  2. Step 2: Convert to fraction form
    202,959.37/280,077.02 = 112,319.16/x
  3. Step 3: Cross multiply
    202,959.37x = 280,077.02 × 112,319.16
  4. Step 4: Simplify right side
    202,959.37x = 31,458,014,115.12
  5. Step 5: Solve for x
    x = 31,458,014,115.12/202,959.37
  6. Step 6: Final answer
    x = 154,996.61

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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.