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Finding the Fourth Proportional to 193,549.40, 290,249.22 and 75,205.16

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Solution

The fourth proportional to 193,549.40, 290,249.22 and 75,205.16 is: 112,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,549.40 : 290,249.22 = 75,205.16 : x
  2. Step 2: Convert to fraction form
    193,549.40/290,249.22 = 75,205.16/x
  3. Step 3: Cross multiply
    193,549.40x = 290,249.22 × 75,205.16
  4. Step 4: Simplify right side
    193,549.40x = 21,828,239,029.98
  5. Step 5: Solve for x
    x = 21,828,239,029.98/193,549.40
  6. Step 6: Final answer
    x = 112,778.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.