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Finding the Fourth Proportional to 256,105.13, 353,430.74 and 141,383.51

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Solution

The fourth proportional to 256,105.13, 353,430.74 and 141,383.51 is: 195,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,105.13 : 353,430.74 = 141,383.51 : x
  2. Step 2: Convert to fraction form
    256,105.13/353,430.74 = 141,383.51/x
  3. Step 3: Cross multiply
    256,105.13x = 353,430.74 × 141,383.51
  4. Step 4: Simplify right side
    256,105.13x = 49,969,278,474.77
  5. Step 5: Solve for x
    x = 49,969,278,474.77/256,105.13
  6. Step 6: Final answer
    x = 195,112.37

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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.