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Finding the Fourth Proportional to 226,002.68, 311,999.82 and 159,232.76

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Solution

The fourth proportional to 226,002.68, 311,999.82 and 159,232.76 is: 219,823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,002.68 : 311,999.82 = 159,232.76 : x
  2. Step 2: Convert to fraction form
    226,002.68/311,999.82 = 159,232.76/x
  3. Step 3: Cross multiply
    226,002.68x = 311,999.82 × 159,232.76
  4. Step 4: Simplify right side
    226,002.68x = 49,680,592,458.10
  5. Step 5: Solve for x
    x = 49,680,592,458.10/226,002.68
  6. Step 6: Final answer
    x = 219,823.02

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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.