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Finding the Fourth Proportional to 259,600.96, 357,972.72 and 205,057.24

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Solution

The fourth proportional to 259,600.96, 357,972.72 and 205,057.24 is: 282,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,600.96 : 357,972.72 = 205,057.24 : x
  2. Step 2: Convert to fraction form
    259,600.96/357,972.72 = 205,057.24/x
  3. Step 3: Cross multiply
    259,600.96x = 357,972.72 × 205,057.24
  4. Step 4: Simplify right side
    259,600.96x = 73,404,897,958.49
  5. Step 5: Solve for x
    x = 73,404,897,958.49/259,600.96
  6. Step 6: Final answer
    x = 282,760.50

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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.