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Finding the Fourth Proportional to 193,708.53, 290,540.93 and 67,327.47

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Solution

The fourth proportional to 193,708.53, 290,540.93 and 67,327.47 is: 100,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,708.53 : 290,540.93 = 67,327.47 : x
  2. Step 2: Convert to fraction form
    193,708.53/290,540.93 = 67,327.47/x
  3. Step 3: Cross multiply
    193,708.53x = 290,540.93 × 67,327.47
  4. Step 4: Simplify right side
    193,708.53x = 19,561,385,411.71
  5. Step 5: Solve for x
    x = 19,561,385,411.71/193,708.53
  6. Step 6: Final answer
    x = 100,983.60

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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.