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Finding the Fourth Proportional to 299,177.96, 412,836.88 and 165,033.32

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Solution

The fourth proportional to 299,177.96, 412,836.88 and 165,033.32 is: 227,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,177.96 : 412,836.88 = 165,033.32 : x
  2. Step 2: Convert to fraction form
    299,177.96/412,836.88 = 165,033.32/x
  3. Step 3: Cross multiply
    299,177.96x = 412,836.88 × 165,033.32
  4. Step 4: Simplify right side
    299,177.96x = 68,131,840,924.84
  5. Step 5: Solve for x
    x = 68,131,840,924.84/299,177.96
  6. Step 6: Final answer
    x = 227,730.15

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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.