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Finding the Fourth Proportional to 223,912.48, 308,986.32 and 134,471.20

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Solution

The fourth proportional to 223,912.48, 308,986.32 and 134,471.20 is: 185,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,912.48 : 308,986.32 = 134,471.20 : x
  2. Step 2: Convert to fraction form
    223,912.48/308,986.32 = 134,471.20/x
  3. Step 3: Cross multiply
    223,912.48x = 308,986.32 × 134,471.20
  4. Step 4: Simplify right side
    223,912.48x = 41,549,761,233.98
  5. Step 5: Solve for x
    x = 41,549,761,233.98/223,912.48
  6. Step 6: Final answer
    x = 185,562.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.