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Finding the Fourth Proportional to 255,764.24, 352,808.11 and 160,104.86

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Solution

The fourth proportional to 255,764.24, 352,808.11 and 160,104.86 is: 220,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,764.24 : 352,808.11 = 160,104.86 : x
  2. Step 2: Convert to fraction form
    255,764.24/352,808.11 = 160,104.86/x
  3. Step 3: Cross multiply
    255,764.24x = 352,808.11 × 160,104.86
  4. Step 4: Simplify right side
    255,764.24x = 56,486,290,493.85
  5. Step 5: Solve for x
    x = 56,486,290,493.85/255,764.24
  6. Step 6: Final answer
    x = 220,852.97

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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.