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Finding the Fourth Proportional to 271,503.60, 407,449.80 and 113,845.20

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Solution

The fourth proportional to 271,503.60, 407,449.80 and 113,845.20 is: 170,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,503.60 : 407,449.80 = 113,845.20 : x
  2. Step 2: Convert to fraction form
    271,503.60/407,449.80 = 113,845.20/x
  3. Step 3: Cross multiply
    271,503.60x = 407,449.80 × 113,845.20
  4. Step 4: Simplify right side
    271,503.60x = 46,386,203,970.96
  5. Step 5: Solve for x
    x = 46,386,203,970.96/271,503.60
  6. Step 6: Final answer
    x = 170,849.31

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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.