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Finding the Fourth Proportional to 193,799.88, 290,716.43 and 53,558.51

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Solution

The fourth proportional to 193,799.88, 290,716.43 and 53,558.51 is: 80,342.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,799.88 : 290,716.43 = 53,558.51 : x
  2. Step 2: Convert to fraction form
    193,799.88/290,716.43 = 53,558.51/x
  3. Step 3: Cross multiply
    193,799.88x = 290,716.43 × 53,558.51
  4. Step 4: Simplify right side
    193,799.88x = 15,570,337,101.94
  5. Step 5: Solve for x
    x = 15,570,337,101.94/193,799.88
  6. Step 6: Final answer
    x = 80,342.35

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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.