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Finding the Fourth Proportional to 259,363.22, 357,914.12 and 144,645.36

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Solution

The fourth proportional to 259,363.22, 357,914.12 and 144,645.36 is: 199,606.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,363.22 : 357,914.12 = 144,645.36 : x
  2. Step 2: Convert to fraction form
    259,363.22/357,914.12 = 144,645.36/x
  3. Step 3: Cross multiply
    259,363.22x = 357,914.12 × 144,645.36
  4. Step 4: Simplify right side
    259,363.22x = 51,770,616,736.48
  5. Step 5: Solve for x
    x = 51,770,616,736.48/259,363.22
  6. Step 6: Final answer
    x = 199,606.62

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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.