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Finding the Fourth Proportional to 226,803.42, 312,982.94 and 123,433.25

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Solution

The fourth proportional to 226,803.42, 312,982.94 and 123,433.25 is: 170,334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,803.42 : 312,982.94 = 123,433.25 : x
  2. Step 2: Convert to fraction form
    226,803.42/312,982.94 = 123,433.25/x
  3. Step 3: Cross multiply
    226,803.42x = 312,982.94 × 123,433.25
  4. Step 4: Simplify right side
    226,803.42x = 38,632,500,222.42
  5. Step 5: Solve for x
    x = 38,632,500,222.42/226,803.42
  6. Step 6: Final answer
    x = 170,334.73

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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.