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Finding the Fourth Proportional to 202,912.27, 280,027.18 and 112,266.77

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Solution

The fourth proportional to 202,912.27, 280,027.18 and 112,266.77 is: 154,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,912.27 : 280,027.18 = 112,266.77 : x
  2. Step 2: Convert to fraction form
    202,912.27/280,027.18 = 112,266.77/x
  3. Step 3: Cross multiply
    202,912.27x = 280,027.18 × 112,266.77
  4. Step 4: Simplify right side
    202,912.27x = 31,437,745,751.01
  5. Step 5: Solve for x
    x = 31,437,745,751.01/202,912.27
  6. Step 6: Final answer
    x = 154,932.70

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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.