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Finding the Fourth Proportional to 271,808.60, 407,907.30 and 114,150.20

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Solution

The fourth proportional to 271,808.60, 407,907.30 and 114,150.20 is: 171,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,808.60 : 407,907.30 = 114,150.20 : x
  2. Step 2: Convert to fraction form
    271,808.60/407,907.30 = 114,150.20/x
  3. Step 3: Cross multiply
    271,808.60x = 407,907.30 × 114,150.20
  4. Step 4: Simplify right side
    271,808.60x = 46,562,699,876.46
  5. Step 5: Solve for x
    x = 46,562,699,876.46/271,808.60
  6. Step 6: Final answer
    x = 171,306.94

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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.