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Finding the Fourth Proportional to 254,181, 381,271.50 and 67,192.50

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Solution

The fourth proportional to 254,181, 381,271.50 and 67,192.50 is: 100,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,181 : 381,271.50 = 67,192.50 : x
  2. Step 2: Convert to fraction form
    254,181/381,271.50 = 67,192.50/x
  3. Step 3: Cross multiply
    254,181x = 381,271.50 × 67,192.50
  4. Step 4: Simplify right side
    254,181x = 25,618,585,263.75
  5. Step 5: Solve for x
    x = 25,618,585,263.75/254,181
  6. Step 6: Final answer
    x = 100,788.75

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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.