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Finding the Fourth Proportional to 254,201.13, 381,075.17 and 96,540.30

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Solution

The fourth proportional to 254,201.13, 381,075.17 and 96,540.30 is: 144,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,201.13 : 381,075.17 = 96,540.30 : x
  2. Step 2: Convert to fraction form
    254,201.13/381,075.17 = 96,540.30/x
  3. Step 3: Cross multiply
    254,201.13x = 381,075.17 × 96,540.30
  4. Step 4: Simplify right side
    254,201.13x = 36,789,111,234.35
  5. Step 5: Solve for x
    x = 36,789,111,234.35/254,201.13
  6. Step 6: Final answer
    x = 144,724.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.