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Finding the Fourth Proportional to 226,408.28, 312,473.06 and 146,069.52

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Solution

The fourth proportional to 226,408.28, 312,473.06 and 146,069.52 is: 201,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,408.28 : 312,473.06 = 146,069.52 : x
  2. Step 2: Convert to fraction form
    226,408.28/312,473.06 = 146,069.52/x
  3. Step 3: Cross multiply
    226,408.28x = 312,473.06 × 146,069.52
  4. Step 4: Simplify right side
    226,408.28x = 45,642,790,252.31
  5. Step 5: Solve for x
    x = 45,642,790,252.31/226,408.28
  6. Step 6: Final answer
    x = 201,595.06

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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.