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Finding the Fourth Proportional to 192,482.21, 288,720.14 and 57,546.59

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Solution

The fourth proportional to 192,482.21, 288,720.14 and 57,546.59 is: 86,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,482.21 : 288,720.14 = 57,546.59 : x
  2. Step 2: Convert to fraction form
    192,482.21/288,720.14 = 57,546.59/x
  3. Step 3: Cross multiply
    192,482.21x = 288,720.14 × 57,546.59
  4. Step 4: Simplify right side
    192,482.21x = 16,614,857,789.99
  5. Step 5: Solve for x
    x = 16,614,857,789.99/192,482.21
  6. Step 6: Final answer
    x = 86,318.93

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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.