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Finding the Fourth Proportional to 123,265.90, 184,899.26 and 34,519.87

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Solution

The fourth proportional to 123,265.90, 184,899.26 and 34,519.87 is: 51,779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,265.90 : 184,899.26 = 34,519.87 : x
  2. Step 2: Convert to fraction form
    123,265.90/184,899.26 = 34,519.87/x
  3. Step 3: Cross multiply
    123,265.90x = 184,899.26 × 34,519.87
  4. Step 4: Simplify right side
    123,265.90x = 6,382,698,418.30
  5. Step 5: Solve for x
    x = 6,382,698,418.30/123,265.90
  6. Step 6: Final answer
    x = 51,779.92

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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.