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Finding the Fourth Proportional to 192,443.82, 288,615.15 and 57,475.86

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Solution

The fourth proportional to 192,443.82, 288,615.15 and 57,475.86 is: 86,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,443.82 : 288,615.15 = 57,475.86 : x
  2. Step 2: Convert to fraction form
    192,443.82/288,615.15 = 57,475.86/x
  3. Step 3: Cross multiply
    192,443.82x = 288,615.15 × 57,475.86
  4. Step 4: Simplify right side
    192,443.82x = 16,588,403,955.28
  5. Step 5: Solve for x
    x = 16,588,403,955.28/192,443.82
  6. Step 6: Final answer
    x = 86,198.68

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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.