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Finding the Fourth Proportional to 192,796.20, 266,055.84 and 107,916.30

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Solution

The fourth proportional to 192,796.20, 266,055.84 and 107,916.30 is: 148,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,796.20 : 266,055.84 = 107,916.30 : x
  2. Step 2: Convert to fraction form
    192,796.20/266,055.84 = 107,916.30/x
  3. Step 3: Cross multiply
    192,796.20x = 266,055.84 × 107,916.30
  4. Step 4: Simplify right side
    192,796.20x = 28,711,761,846.19
  5. Step 5: Solve for x
    x = 28,711,761,846.19/192,796.20
  6. Step 6: Final answer
    x = 148,922.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.