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Finding the Fourth Proportional to 213,919.53, 295,274.62 and 123,335.97

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Solution

The fourth proportional to 213,919.53, 295,274.62 and 123,335.97 is: 170,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,919.53 : 295,274.62 = 123,335.97 : x
  2. Step 2: Convert to fraction form
    213,919.53/295,274.62 = 123,335.97/x
  3. Step 3: Cross multiply
    213,919.53x = 295,274.62 × 123,335.97
  4. Step 4: Simplify right side
    213,919.53x = 36,417,980,027.21
  5. Step 5: Solve for x
    x = 36,417,980,027.21/213,919.53
  6. Step 6: Final answer
    x = 170,241.49

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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.