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Finding the Fourth Proportional to 254,682.96, 382,023.99 and 67,694.46

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Solution

The fourth proportional to 254,682.96, 382,023.99 and 67,694.46 is: 101,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,682.96 : 382,023.99 = 67,694.46 : x
  2. Step 2: Convert to fraction form
    254,682.96/382,023.99 = 67,694.46/x
  3. Step 3: Cross multiply
    254,682.96x = 382,023.99 × 67,694.46
  4. Step 4: Simplify right side
    254,682.96x = 25,860,907,710.10
  5. Step 5: Solve for x
    x = 25,860,907,710.10/254,682.96
  6. Step 6: Final answer
    x = 101,541.57

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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.