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Finding the Fourth Proportional to 149,801.82, 224,745.93 and 66,676.38

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Solution

The fourth proportional to 149,801.82, 224,745.93 and 66,676.38 is: 100,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,801.82 : 224,745.93 = 66,676.38 : x
  2. Step 2: Convert to fraction form
    149,801.82/224,745.93 = 66,676.38/x
  3. Step 3: Cross multiply
    149,801.82x = 224,745.93 × 66,676.38
  4. Step 4: Simplify right side
    149,801.82x = 14,985,245,032.13
  5. Step 5: Solve for x
    x = 14,985,245,032.13/149,801.82
  6. Step 6: Final answer
    x = 100,033.80

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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.