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Finding the Fourth Proportional to 197,857.88, 296,754.22 and 55,713.02

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Solution

The fourth proportional to 197,857.88, 296,754.22 and 55,713.02 is: 83,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,857.88 : 296,754.22 = 55,713.02 : x
  2. Step 2: Convert to fraction form
    197,857.88/296,754.22 = 55,713.02/x
  3. Step 3: Cross multiply
    197,857.88x = 296,754.22 × 55,713.02
  4. Step 4: Simplify right side
    197,857.88x = 16,533,073,793.94
  5. Step 5: Solve for x
    x = 16,533,073,793.94/197,857.88
  6. Step 6: Final answer
    x = 83,560.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.