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Finding the Fourth Proportional to 106,227.80, 159,262.10 and 64,097.91

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Solution

The fourth proportional to 106,227.80, 159,262.10 and 64,097.91 is: 96,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,227.80 : 159,262.10 = 64,097.91 : x
  2. Step 2: Convert to fraction form
    106,227.80/159,262.10 = 64,097.91/x
  3. Step 3: Cross multiply
    106,227.80x = 159,262.10 × 64,097.91
  4. Step 4: Simplify right side
    106,227.80x = 10,208,367,431.72
  5. Step 5: Solve for x
    x = 10,208,367,431.72/106,227.80
  6. Step 6: Final answer
    x = 96,098.84

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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.