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Finding the Fourth Proportional to 295,175.43, 407,346.80 and 161,039.43

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Solution

The fourth proportional to 295,175.43, 407,346.80 and 161,039.43 is: 222,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,175.43 : 407,346.80 = 161,039.43 : x
  2. Step 2: Convert to fraction form
    295,175.43/407,346.80 = 161,039.43/x
  3. Step 3: Cross multiply
    295,175.43x = 407,346.80 × 161,039.43
  4. Step 4: Simplify right side
    295,175.43x = 65,598,895,679.13
  5. Step 5: Solve for x
    x = 65,598,895,679.13/295,175.43
  6. Step 6: Final answer
    x = 222,236.98

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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.