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Finding the Fourth Proportional to 271,100.66, 406,762.64 and 119,219.66

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Solution

The fourth proportional to 271,100.66, 406,762.64 and 119,219.66 is: 178,878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,100.66 : 406,762.64 = 119,219.66 : x
  2. Step 2: Convert to fraction form
    271,100.66/406,762.64 = 119,219.66/x
  3. Step 3: Cross multiply
    271,100.66x = 406,762.64 × 119,219.66
  4. Step 4: Simplify right side
    271,100.66x = 48,494,101,458.66
  5. Step 5: Solve for x
    x = 48,494,101,458.66/271,100.66
  6. Step 6: Final answer
    x = 178,878.58

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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.