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Finding the Fourth Proportional to 243,299.43, 364,984.11 and 74,833.90

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Solution

The fourth proportional to 243,299.43, 364,984.11 and 74,833.90 is: 112,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,299.43 : 364,984.11 = 74,833.90 : x
  2. Step 2: Convert to fraction form
    243,299.43/364,984.11 = 74,833.90/x
  3. Step 3: Cross multiply
    243,299.43x = 364,984.11 × 74,833.90
  4. Step 4: Simplify right side
    243,299.43x = 27,313,183,476.87
  5. Step 5: Solve for x
    x = 27,313,183,476.87/243,299.43
  6. Step 6: Final answer
    x = 112,261.60

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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.