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Finding the Fourth Proportional to 260,223.50, 359,108.43 and 140,991.50

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Solution

The fourth proportional to 260,223.50, 359,108.43 and 140,991.50 is: 194,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,223.50 : 359,108.43 = 140,991.50 : x
  2. Step 2: Convert to fraction form
    260,223.50/359,108.43 = 140,991.50/x
  3. Step 3: Cross multiply
    260,223.50x = 359,108.43 × 140,991.50
  4. Step 4: Simplify right side
    260,223.50x = 50,631,236,208.35
  5. Step 5: Solve for x
    x = 50,631,236,208.35/260,223.50
  6. Step 6: Final answer
    x = 194,568.27

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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.