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Finding the Fourth Proportional to 193,859.01, 290,862.63 and 75,612.78

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Solution

The fourth proportional to 193,859.01, 290,862.63 and 75,612.78 is: 113,448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,859.01 : 290,862.63 = 75,612.78 : x
  2. Step 2: Convert to fraction form
    193,859.01/290,862.63 = 75,612.78/x
  3. Step 3: Cross multiply
    193,859.01x = 290,862.63 × 75,612.78
  4. Step 4: Simplify right side
    193,859.01x = 21,992,932,052.41
  5. Step 5: Solve for x
    x = 21,992,932,052.41/193,859.01
  6. Step 6: Final answer
    x = 113,448.08

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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.