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Finding the Fourth Proportional to 258,709.36, 357,024.38 and 145,532.11

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Solution

The fourth proportional to 258,709.36, 357,024.38 and 145,532.11 is: 200,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,709.36 : 357,024.38 = 145,532.11 : x
  2. Step 2: Convert to fraction form
    258,709.36/357,024.38 = 145,532.11/x
  3. Step 3: Cross multiply
    258,709.36x = 357,024.38 × 145,532.11
  4. Step 4: Simplify right side
    258,709.36x = 51,958,511,619.97
  5. Step 5: Solve for x
    x = 51,958,511,619.97/258,709.36
  6. Step 6: Final answer
    x = 200,837.39

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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.