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Finding the Fourth Proportional to 205,457.36, 308,255.27 and 129,467.66

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Solution

The fourth proportional to 205,457.36, 308,255.27 and 129,467.66 is: 194,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,457.36 : 308,255.27 = 129,467.66 : x
  2. Step 2: Convert to fraction form
    205,457.36/308,255.27 = 129,467.66/x
  3. Step 3: Cross multiply
    205,457.36x = 308,255.27 × 129,467.66
  4. Step 4: Simplify right side
    205,457.36x = 39,909,086,300.95
  5. Step 5: Solve for x
    x = 39,909,086,300.95/205,457.36
  6. Step 6: Final answer
    x = 194,245.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.