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Finding the Fourth Proportional to 271,748.60, 407,720.10 and 114,025.40

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Solution

The fourth proportional to 271,748.60, 407,720.10 and 114,025.40 is: 171,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,748.60 : 407,720.10 = 114,025.40 : x
  2. Step 2: Convert to fraction form
    271,748.60/407,720.10 = 114,025.40/x
  3. Step 3: Cross multiply
    271,748.60x = 407,720.10 × 114,025.40
  4. Step 4: Simplify right side
    271,748.60x = 46,490,447,490.54
  5. Step 5: Solve for x
    x = 46,490,447,490.54/271,748.60
  6. Step 6: Final answer
    x = 171,078.89

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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.