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Finding the Fourth Proportional to 260,226, 359,112.12 and 140,994

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Solution

The fourth proportional to 260,226, 359,112.12 and 140,994 is: 194,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,226 : 359,112.12 = 140,994 : x
  2. Step 2: Convert to fraction form
    260,226/359,112.12 = 140,994/x
  3. Step 3: Cross multiply
    260,226x = 359,112.12 × 140,994
  4. Step 4: Simplify right side
    260,226x = 50,632,654,247.28
  5. Step 5: Solve for x
    x = 50,632,654,247.28/260,226
  6. Step 6: Final answer
    x = 194,571.85

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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.