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Finding the Fourth Proportional to 113,367.68, 169,978.62 and 54,202.04

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Solution

The fourth proportional to 113,367.68, 169,978.62 and 54,202.04 is: 81,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,367.68 : 169,978.62 = 54,202.04 : x
  2. Step 2: Convert to fraction form
    113,367.68/169,978.62 = 54,202.04/x
  3. Step 3: Cross multiply
    113,367.68x = 169,978.62 × 54,202.04
  4. Step 4: Simplify right side
    113,367.68x = 9,213,187,960.38
  5. Step 5: Solve for x
    x = 9,213,187,960.38/113,367.68
  6. Step 6: Final answer
    x = 81,268.21

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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.