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Finding the Fourth Proportional to 280,961.80, 421,442.70 and 162,936.70

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Solution

The fourth proportional to 280,961.80, 421,442.70 and 162,936.70 is: 244,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,961.80 : 421,442.70 = 162,936.70 : x
  2. Step 2: Convert to fraction form
    280,961.80/421,442.70 = 162,936.70/x
  3. Step 3: Cross multiply
    280,961.80x = 421,442.70 × 162,936.70
  4. Step 4: Simplify right side
    280,961.80x = 68,668,482,777.09
  5. Step 5: Solve for x
    x = 68,668,482,777.09/280,961.80
  6. Step 6: Final answer
    x = 244,405.05

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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.