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Finding the Fourth Proportional to 201,840.54, 302,655.69 and 95,195.86

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Solution

The fourth proportional to 201,840.54, 302,655.69 and 95,195.86 is: 142,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,840.54 : 302,655.69 = 95,195.86 : x
  2. Step 2: Convert to fraction form
    201,840.54/302,655.69 = 95,195.86/x
  3. Step 3: Cross multiply
    201,840.54x = 302,655.69 × 95,195.86
  4. Step 4: Simplify right side
    201,840.54x = 28,811,568,693.44
  5. Step 5: Solve for x
    x = 28,811,568,693.44/201,840.54
  6. Step 6: Final answer
    x = 142,744.21

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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.