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Finding the Fourth Proportional to 226,138.08, 338,807.96 and 137,211

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Solution

The fourth proportional to 226,138.08, 338,807.96 and 137,211 is: 205,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,138.08 : 338,807.96 = 137,211 : x
  2. Step 2: Convert to fraction form
    226,138.08/338,807.96 = 137,211/x
  3. Step 3: Cross multiply
    226,138.08x = 338,807.96 × 137,211
  4. Step 4: Simplify right side
    226,138.08x = 46,488,178,999.56
  5. Step 5: Solve for x
    x = 46,488,178,999.56/226,138.08
  6. Step 6: Final answer
    x = 205,574.31

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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.