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Finding the Fourth Proportional to 256,083.96, 353,419.38 and 141,383.10

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Solution

The fourth proportional to 256,083.96, 353,419.38 and 141,383.10 is: 195,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,083.96 : 353,419.38 = 141,383.10 : x
  2. Step 2: Convert to fraction form
    256,083.96/353,419.38 = 141,383.10/x
  3. Step 3: Cross multiply
    256,083.96x = 353,419.38 × 141,383.10
  4. Step 4: Simplify right side
    256,083.96x = 49,967,527,544.48
  5. Step 5: Solve for x
    x = 49,967,527,544.48/256,083.96
  6. Step 6: Final answer
    x = 195,121.66

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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.