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Finding the Fourth Proportional to 201,874.27, 302,811.86 and 189,543.24

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Solution

The fourth proportional to 201,874.27, 302,811.86 and 189,543.24 is: 284,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,874.27 : 302,811.86 = 189,543.24 : x
  2. Step 2: Convert to fraction form
    201,874.27/302,811.86 = 189,543.24/x
  3. Step 3: Cross multiply
    201,874.27x = 302,811.86 × 189,543.24
  4. Step 4: Simplify right side
    201,874.27x = 57,395,939,540.77
  5. Step 5: Solve for x
    x = 57,395,939,540.77/201,874.27
  6. Step 6: Final answer
    x = 284,315.28

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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.