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Finding the Fourth Proportional to 271,957.90, 408,082.65 and 114,202.30

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Solution

The fourth proportional to 271,957.90, 408,082.65 and 114,202.30 is: 171,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,957.90 : 408,082.65 = 114,202.30 : x
  2. Step 2: Convert to fraction form
    271,957.90/408,082.65 = 114,202.30/x
  3. Step 3: Cross multiply
    271,957.90x = 408,082.65 × 114,202.30
  4. Step 4: Simplify right side
    271,957.90x = 46,603,977,220.10
  5. Step 5: Solve for x
    x = 46,603,977,220.10/271,957.90
  6. Step 6: Final answer
    x = 171,364.68

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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.