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Finding the Fourth Proportional to 226,441.40, 312,409.44 and 135,826.68

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Solution

The fourth proportional to 226,441.40, 312,409.44 and 135,826.68 is: 187,393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,441.40 : 312,409.44 = 135,826.68 : x
  2. Step 2: Convert to fraction form
    226,441.40/312,409.44 = 135,826.68/x
  3. Step 3: Cross multiply
    226,441.40x = 312,409.44 × 135,826.68
  4. Step 4: Simplify right side
    226,441.40x = 42,433,537,035.86
  5. Step 5: Solve for x
    x = 42,433,537,035.86/226,441.40
  6. Step 6: Final answer
    x = 187,393.02

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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.