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Finding the Fourth Proportional to 254,020.80, 381,027.42 and 61,897.44

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Solution

The fourth proportional to 254,020.80, 381,027.42 and 61,897.44 is: 92,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,020.80 : 381,027.42 = 61,897.44 : x
  2. Step 2: Convert to fraction form
    254,020.80/381,027.42 = 61,897.44/x
  3. Step 3: Cross multiply
    254,020.80x = 381,027.42 × 61,897.44
  4. Step 4: Simplify right side
    254,020.80x = 23,584,621,867.80
  5. Step 5: Solve for x
    x = 23,584,621,867.80/254,020.80
  6. Step 6: Final answer
    x = 92,845.24

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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.