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Finding the Fourth Proportional to 164,472.12, 226,975.95 and 99,919.38

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Solution

The fourth proportional to 164,472.12, 226,975.95 and 99,919.38 is: 137,891.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,472.12 : 226,975.95 = 99,919.38 : x
  2. Step 2: Convert to fraction form
    164,472.12/226,975.95 = 99,919.38/x
  3. Step 3: Cross multiply
    164,472.12x = 226,975.95 × 99,919.38
  4. Step 4: Simplify right side
    164,472.12x = 22,679,296,198.91
  5. Step 5: Solve for x
    x = 22,679,296,198.91/164,472.12
  6. Step 6: Final answer
    x = 137,891.43

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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.