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Finding the Fourth Proportional to 262,145.53, 361,723.83 and 147,408.22

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Solution

The fourth proportional to 262,145.53, 361,723.83 and 147,408.22 is: 203,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,145.53 : 361,723.83 = 147,408.22 : x
  2. Step 2: Convert to fraction form
    262,145.53/361,723.83 = 147,408.22/x
  3. Step 3: Cross multiply
    262,145.53x = 361,723.83 × 147,408.22
  4. Step 4: Simplify right side
    262,145.53x = 53,321,065,911.88
  5. Step 5: Solve for x
    x = 53,321,065,911.88/262,145.53
  6. Step 6: Final answer
    x = 203,402.54

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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.