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Finding the Fourth Proportional to 242,891.28, 364,361.31 and 74,409.66

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Solution

The fourth proportional to 242,891.28, 364,361.31 and 74,409.66 is: 111,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,891.28 : 364,361.31 = 74,409.66 : x
  2. Step 2: Convert to fraction form
    242,891.28/364,361.31 = 74,409.66/x
  3. Step 3: Cross multiply
    242,891.28x = 364,361.31 × 74,409.66
  4. Step 4: Simplify right side
    242,891.28x = 27,112,001,194.25
  5. Step 5: Solve for x
    x = 27,112,001,194.25/242,891.28
  6. Step 6: Final answer
    x = 111,621.96

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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.