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Finding the Fourth Proportional to 226,395.21, 312,412.65 and 135,705.78

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Solution

The fourth proportional to 226,395.21, 312,412.65 and 135,705.78 is: 187,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,395.21 : 312,412.65 = 135,705.78 : x
  2. Step 2: Convert to fraction form
    226,395.21/312,412.65 = 135,705.78/x
  3. Step 3: Cross multiply
    226,395.21x = 312,412.65 × 135,705.78
  4. Step 4: Simplify right side
    226,395.21x = 42,396,202,350.12
  5. Step 5: Solve for x
    x = 42,396,202,350.12/226,395.21
  6. Step 6: Final answer
    x = 187,266.34

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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.