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Finding the Fourth Proportional to 202,959.51, 280,077.24 and 112,319.30

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Solution

The fourth proportional to 202,959.51, 280,077.24 and 112,319.30 is: 154,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,959.51 : 280,077.24 = 112,319.30 : x
  2. Step 2: Convert to fraction form
    202,959.51/280,077.24 = 112,319.30/x
  3. Step 3: Cross multiply
    202,959.51x = 280,077.24 × 112,319.30
  4. Step 4: Simplify right side
    202,959.51x = 31,458,079,542.73
  5. Step 5: Solve for x
    x = 31,458,079,542.73/202,959.51
  6. Step 6: Final answer
    x = 154,996.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.