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Finding the Fourth Proportional to 71,198.93, 106,603.83 and 51,228.38

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Solution

The fourth proportional to 71,198.93, 106,603.83 and 51,228.38 is: 76,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,198.93 : 106,603.83 = 51,228.38 : x
  2. Step 2: Convert to fraction form
    71,198.93/106,603.83 = 51,228.38/x
  3. Step 3: Cross multiply
    71,198.93x = 106,603.83 × 51,228.38
  4. Step 4: Simplify right side
    71,198.93x = 5,461,140,979.68
  5. Step 5: Solve for x
    x = 5,461,140,979.68/71,198.93
  6. Step 6: Final answer
    x = 76,702.58

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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.