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Finding the Fourth Proportional to 262,843.50, 362,724.06 and 143,611.50

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Solution

The fourth proportional to 262,843.50, 362,724.06 and 143,611.50 is: 198,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,843.50 : 362,724.06 = 143,611.50 : x
  2. Step 2: Convert to fraction form
    262,843.50/362,724.06 = 143,611.50/x
  3. Step 3: Cross multiply
    262,843.50x = 362,724.06 × 143,611.50
  4. Step 4: Simplify right side
    262,843.50x = 52,091,346,342.69
  5. Step 5: Solve for x
    x = 52,091,346,342.69/262,843.50
  6. Step 6: Final answer
    x = 198,183.89

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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.