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Finding the Fourth Proportional to 254,224.95, 381,187.92 and 96,464.49

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Solution

The fourth proportional to 254,224.95, 381,187.92 and 96,464.49 is: 144,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,224.95 : 381,187.92 = 96,464.49 : x
  2. Step 2: Convert to fraction form
    254,224.95/381,187.92 = 96,464.49/x
  3. Step 3: Cross multiply
    254,224.95x = 381,187.92 × 96,464.49
  4. Step 4: Simplify right side
    254,224.95x = 36,771,098,296.96
  5. Step 5: Solve for x
    x = 36,771,098,296.96/254,224.95
  6. Step 6: Final answer
    x = 144,640.01

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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.