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Finding the Fourth Proportional to 286,102.68, 394,730.46 and 165,228

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Solution

The fourth proportional to 286,102.68, 394,730.46 and 165,228 is: 227,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,102.68 : 394,730.46 = 165,228 : x
  2. Step 2: Convert to fraction form
    286,102.68/394,730.46 = 165,228/x
  3. Step 3: Cross multiply
    286,102.68x = 394,730.46 × 165,228
  4. Step 4: Simplify right side
    286,102.68x = 65,220,524,444.88
  5. Step 5: Solve for x
    x = 65,220,524,444.88/286,102.68
  6. Step 6: Final answer
    x = 227,961.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.