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Finding the Fourth Proportional to 268,564.58, 402,846.14 and 100,081.07

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Solution

The fourth proportional to 268,564.58, 402,846.14 and 100,081.07 is: 150,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,564.58 : 402,846.14 = 100,081.07 : x
  2. Step 2: Convert to fraction form
    268,564.58/402,846.14 = 100,081.07/x
  3. Step 3: Cross multiply
    268,564.58x = 402,846.14 × 100,081.07
  4. Step 4: Simplify right side
    268,564.58x = 40,317,270,972.54
  5. Step 5: Solve for x
    x = 40,317,270,972.54/268,564.58
  6. Step 6: Final answer
    x = 150,121.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.