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Finding the Fourth Proportional to 223,534.56, 335,522.24 and 164,203.68

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Solution

The fourth proportional to 223,534.56, 335,522.24 and 164,203.68 is: 246,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,534.56 : 335,522.24 = 164,203.68 : x
  2. Step 2: Convert to fraction form
    223,534.56/335,522.24 = 164,203.68/x
  3. Step 3: Cross multiply
    223,534.56x = 335,522.24 × 164,203.68
  4. Step 4: Simplify right side
    223,534.56x = 55,093,986,529.84
  5. Step 5: Solve for x
    x = 55,093,986,529.84/223,534.56
  6. Step 6: Final answer
    x = 246,467.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.