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Finding the Fourth Proportional to 225,592.80, 311,234.40 and 145,064.73

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Solution

The fourth proportional to 225,592.80, 311,234.40 and 145,064.73 is: 200,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,592.80 : 311,234.40 = 145,064.73 : x
  2. Step 2: Convert to fraction form
    225,592.80/311,234.40 = 145,064.73/x
  3. Step 3: Cross multiply
    225,592.80x = 311,234.40 × 145,064.73
  4. Step 4: Simplify right side
    225,592.80x = 45,149,134,202.71
  5. Step 5: Solve for x
    x = 45,149,134,202.71/225,592.80
  6. Step 6: Final answer
    x = 200,135.53

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