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Finding the Fourth Proportional to 226,083.27, 311,931 and 145,557.43

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Solution

The fourth proportional to 226,083.27, 311,931 and 145,557.43 is: 200,828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,083.27 : 311,931 = 145,557.43 : x
  2. Step 2: Convert to fraction form
    226,083.27/311,931 = 145,557.43/x
  3. Step 3: Cross multiply
    226,083.27x = 311,931 × 145,557.43
  4. Step 4: Simplify right side
    226,083.27x = 45,403,874,697.33
  5. Step 5: Solve for x
    x = 45,403,874,697.33/226,083.27
  6. Step 6: Final answer
    x = 200,828.11

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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.