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Finding the Fourth Proportional to 147,224.88, 203,163.12 and 83,561.76

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Solution

The fourth proportional to 147,224.88, 203,163.12 and 83,561.76 is: 115,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,224.88 : 203,163.12 = 83,561.76 : x
  2. Step 2: Convert to fraction form
    147,224.88/203,163.12 = 83,561.76/x
  3. Step 3: Cross multiply
    147,224.88x = 203,163.12 × 83,561.76
  4. Step 4: Simplify right side
    147,224.88x = 16,976,667,874.29
  5. Step 5: Solve for x
    x = 16,976,667,874.29/147,224.88
  6. Step 6: Final answer
    x = 115,311.13

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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.