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Finding the Fourth Proportional to 226,050.32, 311,776.44 and 165,599.12

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Solution

The fourth proportional to 226,050.32, 311,776.44 and 165,599.12 is: 228,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,050.32 : 311,776.44 = 165,599.12 : x
  2. Step 2: Convert to fraction form
    226,050.32/311,776.44 = 165,599.12/x
  3. Step 3: Cross multiply
    226,050.32x = 311,776.44 × 165,599.12
  4. Step 4: Simplify right side
    226,050.32x = 51,629,904,100.73
  5. Step 5: Solve for x
    x = 51,629,904,100.73/226,050.32
  6. Step 6: Final answer
    x = 228,400.05

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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.