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Finding the Fourth Proportional to 256,550.42, 354,151.98 and 196,123.58

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Solution

The fourth proportional to 256,550.42, 354,151.98 and 196,123.58 is: 270,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,550.42 : 354,151.98 = 196,123.58 : x
  2. Step 2: Convert to fraction form
    256,550.42/354,151.98 = 196,123.58/x
  3. Step 3: Cross multiply
    256,550.42x = 354,151.98 × 196,123.58
  4. Step 4: Simplify right side
    256,550.42x = 69,457,554,181.69
  5. Step 5: Solve for x
    x = 69,457,554,181.69/256,550.42
  6. Step 6: Final answer
    x = 270,736.47

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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.