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Finding the Fourth Proportional to 150,807.80, 226,367.22 and 112,997

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Solution

The fourth proportional to 150,807.80, 226,367.22 and 112,997 is: 169,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,807.80 : 226,367.22 = 112,997 : x
  2. Step 2: Convert to fraction form
    150,807.80/226,367.22 = 112,997/x
  3. Step 3: Cross multiply
    150,807.80x = 226,367.22 × 112,997
  4. Step 4: Simplify right side
    150,807.80x = 25,578,816,758.34
  5. Step 5: Solve for x
    x = 25,578,816,758.34/150,807.80
  6. Step 6: Final answer
    x = 169,612.03

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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.