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Finding the Fourth Proportional to 260,194.44, 359,048.50 and 158,205.73

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Solution

The fourth proportional to 260,194.44, 359,048.50 and 158,205.73 is: 218,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,194.44 : 359,048.50 = 158,205.73 : x
  2. Step 2: Convert to fraction form
    260,194.44/359,048.50 = 158,205.73/x
  3. Step 3: Cross multiply
    260,194.44x = 359,048.50 × 158,205.73
  4. Step 4: Simplify right side
    260,194.44x = 56,803,530,047.91
  5. Step 5: Solve for x
    x = 56,803,530,047.91/260,194.44
  6. Step 6: Final answer
    x = 218,311.85

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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.