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Finding the Fourth Proportional to 252,224.43, 378,148.32 and 152,361.96

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Solution

The fourth proportional to 252,224.43, 378,148.32 and 152,361.96 is: 228,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,224.43 : 378,148.32 = 152,361.96 : x
  2. Step 2: Convert to fraction form
    252,224.43/378,148.32 = 152,361.96/x
  3. Step 3: Cross multiply
    252,224.43x = 378,148.32 × 152,361.96
  4. Step 4: Simplify right side
    252,224.43x = 57,615,419,205.91
  5. Step 5: Solve for x
    x = 57,615,419,205.91/252,224.43
  6. Step 6: Final answer
    x = 228,429.18

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