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Finding the Fourth Proportional to 226,744, 312,906.72 and 126,142

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Solution

The fourth proportional to 226,744, 312,906.72 and 126,142 is: 174,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,744 : 312,906.72 = 126,142 : x
  2. Step 2: Convert to fraction form
    226,744/312,906.72 = 126,142/x
  3. Step 3: Cross multiply
    226,744x = 312,906.72 × 126,142
  4. Step 4: Simplify right side
    226,744x = 39,470,679,474.24
  5. Step 5: Solve for x
    x = 39,470,679,474.24/226,744
  6. Step 6: Final answer
    x = 174,075.96

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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.