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Finding the Fourth Proportional to 275,336.42, 413,004.62 and 97,850.43

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Solution

The fourth proportional to 275,336.42, 413,004.62 and 97,850.43 is: 146,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,336.42 : 413,004.62 = 97,850.43 : x
  2. Step 2: Convert to fraction form
    275,336.42/413,004.62 = 97,850.43/x
  3. Step 3: Cross multiply
    275,336.42x = 413,004.62 × 97,850.43
  4. Step 4: Simplify right side
    275,336.42x = 40,412,679,903.61
  5. Step 5: Solve for x
    x = 40,412,679,903.61/275,336.42
  6. Step 6: Final answer
    x = 146,775.65

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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.