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Finding the Fourth Proportional to 254,881.14, 381,796.74 and 149,445.88

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Solution

The fourth proportional to 254,881.14, 381,796.74 and 149,445.88 is: 223,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,881.14 : 381,796.74 = 149,445.88 : x
  2. Step 2: Convert to fraction form
    254,881.14/381,796.74 = 149,445.88/x
  3. Step 3: Cross multiply
    254,881.14x = 381,796.74 × 149,445.88
  4. Step 4: Simplify right side
    254,881.14x = 57,057,949,790.43
  5. Step 5: Solve for x
    x = 57,057,949,790.43/254,881.14
  6. Step 6: Final answer
    x = 223,861.01

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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.