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Finding the Fourth Proportional to 226,398.45, 312,417.13 and 135,709.03

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Solution

The fourth proportional to 226,398.45, 312,417.13 and 135,709.03 is: 187,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,398.45 : 312,417.13 = 135,709.03 : x
  2. Step 2: Convert to fraction form
    226,398.45/312,417.13 = 135,709.03/x
  3. Step 3: Cross multiply
    226,398.45x = 312,417.13 × 135,709.03
  4. Step 4: Simplify right side
    226,398.45x = 42,397,825,667.68
  5. Step 5: Solve for x
    x = 42,397,825,667.68/226,398.45
  6. Step 6: Final answer
    x = 187,270.83

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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.