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Finding the Fourth Proportional to 213,892.80, 295,179.03 and 123,241.74

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Solution

The fourth proportional to 213,892.80, 295,179.03 and 123,241.74 is: 170,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,892.80 : 295,179.03 = 123,241.74 : x
  2. Step 2: Convert to fraction form
    213,892.80/295,179.03 = 123,241.74/x
  3. Step 3: Cross multiply
    213,892.80x = 295,179.03 × 123,241.74
  4. Step 4: Simplify right side
    213,892.80x = 36,378,377,268.71
  5. Step 5: Solve for x
    x = 36,378,377,268.71/213,892.80
  6. Step 6: Final answer
    x = 170,077.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.