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Finding the Fourth Proportional to 174,540.85, 240,892.43 and 106,596.90

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Solution

The fourth proportional to 174,540.85, 240,892.43 and 106,596.90 is: 147,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,540.85 : 240,892.43 = 106,596.90 : x
  2. Step 2: Convert to fraction form
    174,540.85/240,892.43 = 106,596.90/x
  3. Step 3: Cross multiply
    174,540.85x = 240,892.43 × 106,596.90
  4. Step 4: Simplify right side
    174,540.85x = 25,678,385,738.48
  5. Step 5: Solve for x
    x = 25,678,385,738.48/174,540.85
  6. Step 6: Final answer
    x = 147,119.63

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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.