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Finding the Fourth Proportional to 192,101.10, 288,128.97 and 51,870.66

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Solution

The fourth proportional to 192,101.10, 288,128.97 and 51,870.66 is: 77,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,101.10 : 288,128.97 = 51,870.66 : x
  2. Step 2: Convert to fraction form
    192,101.10/288,128.97 = 51,870.66/x
  3. Step 3: Cross multiply
    192,101.10x = 288,128.97 × 51,870.66
  4. Step 4: Simplify right side
    192,101.10x = 14,945,439,839.02
  5. Step 5: Solve for x
    x = 14,945,439,839.02/192,101.10
  6. Step 6: Final answer
    x = 77,799.87

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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.