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Finding the Fourth Proportional to 201,795.73, 302,652.32 and 75,412.64

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Solution

The fourth proportional to 201,795.73, 302,652.32 and 75,412.64 is: 113,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,795.73 : 302,652.32 = 75,412.64 : x
  2. Step 2: Convert to fraction form
    201,795.73/302,652.32 = 75,412.64/x
  3. Step 3: Cross multiply
    201,795.73x = 302,652.32 × 75,412.64
  4. Step 4: Simplify right side
    201,795.73x = 22,823,810,832.89
  5. Step 5: Solve for x
    x = 22,823,810,832.89/201,795.73
  6. Step 6: Final answer
    x = 113,103.54

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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.