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Finding the Fourth Proportional to 268,201.78, 401,928.59 and 201,563.89

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Solution

The fourth proportional to 268,201.78, 401,928.59 and 201,563.89 is: 302,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,201.78 : 401,928.59 = 201,563.89 : x
  2. Step 2: Convert to fraction form
    268,201.78/401,928.59 = 201,563.89/x
  3. Step 3: Cross multiply
    268,201.78x = 401,928.59 × 201,563.89
  4. Step 4: Simplify right side
    268,201.78x = 81,014,289,601.70
  5. Step 5: Solve for x
    x = 81,014,289,601.70/268,201.78
  6. Step 6: Final answer
    x = 302,064.70

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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.