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Finding the Fourth Proportional to 283,057.68, 424,455.32 and 105,517.04

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Solution

The fourth proportional to 283,057.68, 424,455.32 and 105,517.04 is: 158,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,057.68 : 424,455.32 = 105,517.04 : x
  2. Step 2: Convert to fraction form
    283,057.68/424,455.32 = 105,517.04/x
  3. Step 3: Cross multiply
    283,057.68x = 424,455.32 × 105,517.04
  4. Step 4: Simplify right side
    283,057.68x = 44,787,268,978.65
  5. Step 5: Solve for x
    x = 44,787,268,978.65/283,057.68
  6. Step 6: Final answer
    x = 158,226.65

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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.