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Finding the Fourth Proportional to 226,206.30, 311,991.69 and 153,665.13

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Solution

The fourth proportional to 226,206.30, 311,991.69 and 153,665.13 is: 211,940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,206.30 : 311,991.69 = 153,665.13 : x
  2. Step 2: Convert to fraction form
    226,206.30/311,991.69 = 153,665.13/x
  3. Step 3: Cross multiply
    226,206.30x = 311,991.69 × 153,665.13
  4. Step 4: Simplify right side
    226,206.30x = 47,942,243,602.77
  5. Step 5: Solve for x
    x = 47,942,243,602.77/226,206.30
  6. Step 6: Final answer
    x = 211,940.36

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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.