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Finding the Fourth Proportional to 289,090.32, 398,961.36 and 161,764.80

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Solution

The fourth proportional to 289,090.32, 398,961.36 and 161,764.80 is: 223,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,090.32 : 398,961.36 = 161,764.80 : x
  2. Step 2: Convert to fraction form
    289,090.32/398,961.36 = 161,764.80/x
  3. Step 3: Cross multiply
    289,090.32x = 398,961.36 × 161,764.80
  4. Step 4: Simplify right side
    289,090.32x = 64,537,904,608.13
  5. Step 5: Solve for x
    x = 64,537,904,608.13/289,090.32
  6. Step 6: Final answer
    x = 223,244.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.