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Finding the Fourth Proportional to 192,065.94, 288,064.08 and 51,791.76

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Solution

The fourth proportional to 192,065.94, 288,064.08 and 51,791.76 is: 77,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,065.94 : 288,064.08 = 51,791.76 : x
  2. Step 2: Convert to fraction form
    192,065.94/288,064.08 = 51,791.76/x
  3. Step 3: Cross multiply
    192,065.94x = 288,064.08 × 51,791.76
  4. Step 4: Simplify right side
    192,065.94x = 14,919,345,695.98
  5. Step 5: Solve for x
    x = 14,919,345,695.98/192,065.94
  6. Step 6: Final answer
    x = 77,678.25

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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.