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Finding the Fourth Proportional to 271,627.62, 407,841.32 and 151,919.11

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Solution

The fourth proportional to 271,627.62, 407,841.32 and 151,919.11 is: 228,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,627.62 : 407,841.32 = 151,919.11 : x
  2. Step 2: Convert to fraction form
    271,627.62/407,841.32 = 151,919.11/x
  3. Step 3: Cross multiply
    271,627.62x = 407,841.32 × 151,919.11
  4. Step 4: Simplify right side
    271,627.62x = 61,958,890,355.63
  5. Step 5: Solve for x
    x = 61,958,890,355.63/271,627.62
  6. Step 6: Final answer
    x = 228,102.32

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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.