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Finding the Fourth Proportional to 271,651.83, 407,745.93 and 203,948.39

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Solution

The fourth proportional to 271,651.83, 407,745.93 and 203,948.39 is: 306,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,651.83 : 407,745.93 = 203,948.39 : x
  2. Step 2: Convert to fraction form
    271,651.83/407,745.93 = 203,948.39/x
  3. Step 3: Cross multiply
    271,651.83x = 407,745.93 × 203,948.39
  4. Step 4: Simplify right side
    271,651.83x = 83,159,122,894.08
  5. Step 5: Solve for x
    x = 83,159,122,894.08/271,651.83
  6. Step 6: Final answer
    x = 306,123.92

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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.