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Finding the Fourth Proportional to 226,045.68, 311,911.20 and 135,380.40

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Solution

The fourth proportional to 226,045.68, 311,911.20 and 135,380.40 is: 186,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,045.68 : 311,911.20 = 135,380.40 : x
  2. Step 2: Convert to fraction form
    226,045.68/311,911.20 = 135,380.40/x
  3. Step 3: Cross multiply
    226,045.68x = 311,911.20 × 135,380.40
  4. Step 4: Simplify right side
    226,045.68x = 42,226,663,020.48
  5. Step 5: Solve for x
    x = 42,226,663,020.48/226,045.68
  6. Step 6: Final answer
    x = 186,805.88

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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.