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Finding the Fourth Proportional to 263,914.40, 364,194.96 and 143,050.40

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Solution

The fourth proportional to 263,914.40, 364,194.96 and 143,050.40 is: 197,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,914.40 : 364,194.96 = 143,050.40 : x
  2. Step 2: Convert to fraction form
    263,914.40/364,194.96 = 143,050.40/x
  3. Step 3: Cross multiply
    263,914.40x = 364,194.96 × 143,050.40
  4. Step 4: Simplify right side
    263,914.40x = 52,098,234,705.98
  5. Step 5: Solve for x
    x = 52,098,234,705.98/263,914.40
  6. Step 6: Final answer
    x = 197,405.81

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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.