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Finding the Fourth Proportional to 192,204.88, 288,267.24 and 51,930.64

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Solution

The fourth proportional to 192,204.88, 288,267.24 and 51,930.64 is: 77,885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,204.88 : 288,267.24 = 51,930.64 : x
  2. Step 2: Convert to fraction form
    192,204.88/288,267.24 = 51,930.64/x
  3. Step 3: Cross multiply
    192,204.88x = 288,267.24 × 51,930.64
  4. Step 4: Simplify right side
    192,204.88x = 14,969,902,264.23
  5. Step 5: Solve for x
    x = 14,969,902,264.23/192,204.88
  6. Step 6: Final answer
    x = 77,885.13

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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.