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Finding the Fourth Proportional to 198,699.98, 274,207.82 and 108,056.82

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Solution

The fourth proportional to 198,699.98, 274,207.82 and 108,056.82 is: 149,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,699.98 : 274,207.82 = 108,056.82 : x
  2. Step 2: Convert to fraction form
    198,699.98/274,207.82 = 108,056.82/x
  3. Step 3: Cross multiply
    198,699.98x = 274,207.82 × 108,056.82
  4. Step 4: Simplify right side
    198,699.98x = 29,630,025,048.33
  5. Step 5: Solve for x
    x = 29,630,025,048.33/198,699.98
  6. Step 6: Final answer
    x = 149,119.42

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1.5x scale

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.