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Finding the Fourth Proportional to 256,615.28, 354,114.74 and 141,887.28

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Solution

The fourth proportional to 256,615.28, 354,114.74 and 141,887.28 is: 195,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,615.28 : 354,114.74 = 141,887.28 : x
  2. Step 2: Convert to fraction form
    256,615.28/354,114.74 = 141,887.28/x
  3. Step 3: Cross multiply
    256,615.28x = 354,114.74 × 141,887.28
  4. Step 4: Simplify right side
    256,615.28x = 50,244,377,266.51
  5. Step 5: Solve for x
    x = 50,244,377,266.51/256,615.28
  6. Step 6: Final answer
    x = 195,796.51

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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.