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Finding the Fourth Proportional to 256,580.24, 354,091.68 and 143,403

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Solution

The fourth proportional to 256,580.24, 354,091.68 and 143,403 is: 197,902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,580.24 : 354,091.68 = 143,403 : x
  2. Step 2: Convert to fraction form
    256,580.24/354,091.68 = 143,403/x
  3. Step 3: Cross multiply
    256,580.24x = 354,091.68 × 143,403
  4. Step 4: Simplify right side
    256,580.24x = 50,777,809,187.04
  5. Step 5: Solve for x
    x = 50,777,809,187.04/256,580.24
  6. Step 6: Final answer
    x = 197,902.26

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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.