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Finding the Fourth Proportional to 193,675.99, 290,530.72 and 53,434.61

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Solution

The fourth proportional to 193,675.99, 290,530.72 and 53,434.61 is: 80,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,675.99 : 290,530.72 = 53,434.61 : x
  2. Step 2: Convert to fraction form
    193,675.99/290,530.72 = 53,434.61/x
  3. Step 3: Cross multiply
    193,675.99x = 290,530.72 × 53,434.61
  4. Step 4: Simplify right side
    193,675.99x = 15,524,395,716.22
  5. Step 5: Solve for x
    x = 15,524,395,716.22/193,675.99
  6. Step 6: Final answer
    x = 80,156.53

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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.