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Finding the Fourth Proportional to 254,228.68, 381,443.44 and 96,499

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Solution

The fourth proportional to 254,228.68, 381,443.44 and 96,499 is: 144,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,228.68 : 381,443.44 = 96,499 : x
  2. Step 2: Convert to fraction form
    254,228.68/381,443.44 = 96,499/x
  3. Step 3: Cross multiply
    254,228.68x = 381,443.44 × 96,499
  4. Step 4: Simplify right side
    254,228.68x = 36,808,910,516.56
  5. Step 5: Solve for x
    x = 36,808,910,516.56/254,228.68
  6. Step 6: Final answer
    x = 144,786.62

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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.