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Finding the Fourth Proportional to 252,361.76, 378,484.28 and 74,825.96

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Solution

The fourth proportional to 252,361.76, 378,484.28 and 74,825.96 is: 112,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,361.76 : 378,484.28 = 74,825.96 : x
  2. Step 2: Convert to fraction form
    252,361.76/378,484.28 = 74,825.96/x
  3. Step 3: Cross multiply
    252,361.76x = 378,484.28 × 74,825.96
  4. Step 4: Simplify right side
    252,361.76x = 28,320,449,595.91
  5. Step 5: Solve for x
    x = 28,320,449,595.91/252,361.76
  6. Step 6: Final answer
    x = 112,221.64

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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.