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Finding the Fourth Proportional to 199,481,188.80, 298,969,840.80 and 97,024,612.80

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Solution

The fourth proportional to 199,481,188.80, 298,969,840.80 and 97,024,612.80 is: 145,414,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,481,188.80 : 298,969,840.80 = 97,024,612.80 : x
  2. Step 2: Convert to fraction form
    199,481,188.80/298,969,840.80 = 97,024,612.80/x
  3. Step 3: Cross multiply
    199,481,188.80x = 298,969,840.80 × 97,024,612.80
  4. Step 4: Simplify right side
    199,481,188.80x = 29,007,433,042,497,644
  5. Step 5: Solve for x
    x = 29,007,433,042,497,644/199,481,188.80
  6. Step 6: Final answer
    x = 145,414,378.25

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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.