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Finding the Fourth Proportional to 227,188.80, 340,944.48 and 102,634.56

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Solution

The fourth proportional to 227,188.80, 340,944.48 and 102,634.56 is: 154,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,188.80 : 340,944.48 = 102,634.56 : x
  2. Step 2: Convert to fraction form
    227,188.80/340,944.48 = 102,634.56/x
  3. Step 3: Cross multiply
    227,188.80x = 340,944.48 × 102,634.56
  4. Step 4: Simplify right side
    227,188.80x = 34,992,686,689.23
  5. Step 5: Solve for x
    x = 34,992,686,689.23/227,188.80
  6. Step 6: Final answer
    x = 154,024.70

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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.