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Finding the Fourth Proportional to 201,830.35, 302,800.17 and 75,483.42

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Solution

The fourth proportional to 201,830.35, 302,800.17 and 75,483.42 is: 113,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,830.35 : 302,800.17 = 75,483.42 : x
  2. Step 2: Convert to fraction form
    201,830.35/302,800.17 = 75,483.42/x
  3. Step 3: Cross multiply
    201,830.35x = 302,800.17 × 75,483.42
  4. Step 4: Simplify right side
    201,830.35x = 22,856,392,408.18
  5. Step 5: Solve for x
    x = 22,856,392,408.18/201,830.35
  6. Step 6: Final answer
    x = 113,245.57

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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.