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Finding the Fourth Proportional to 216,234.20, 323,573.70 and 146,250.20

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Solution

The fourth proportional to 216,234.20, 323,573.70 and 146,250.20 is: 218,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,234.20 : 323,573.70 = 146,250.20 : x
  2. Step 2: Convert to fraction form
    216,234.20/323,573.70 = 146,250.20/x
  3. Step 3: Cross multiply
    216,234.20x = 323,573.70 × 146,250.20
  4. Step 4: Simplify right side
    216,234.20x = 47,322,718,339.74
  5. Step 5: Solve for x
    x = 47,322,718,339.74/216,234.20
  6. Step 6: Final answer
    x = 218,849.37

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