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Finding the Fourth Proportional to 254,037.75, 381,056.81 and 64,512.33

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Solution

The fourth proportional to 254,037.75, 381,056.81 and 64,512.33 is: 96,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,037.75 : 381,056.81 = 64,512.33 : x
  2. Step 2: Convert to fraction form
    254,037.75/381,056.81 = 64,512.33/x
  3. Step 3: Cross multiply
    254,037.75x = 381,056.81 × 64,512.33
  4. Step 4: Simplify right side
    254,037.75x = 24,582,862,352.91
  5. Step 5: Solve for x
    x = 24,582,862,352.91/254,037.75
  6. Step 6: Final answer
    x = 96,768.54

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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.