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Finding the Fourth Proportional to 254,120.67, 381,176.73 and 61,996.95

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Solution

The fourth proportional to 254,120.67, 381,176.73 and 61,996.95 is: 92,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,120.67 : 381,176.73 = 61,996.95 : x
  2. Step 2: Convert to fraction form
    254,120.67/381,176.73 = 61,996.95/x
  3. Step 3: Cross multiply
    254,120.67x = 381,176.73 × 61,996.95
  4. Step 4: Simplify right side
    254,120.67x = 23,631,794,670.97
  5. Step 5: Solve for x
    x = 23,631,794,670.97/254,120.67
  6. Step 6: Final answer
    x = 92,994.38

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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.