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Finding the Fourth Proportional to 271,750.95, 407,210.76 and 113,893.29

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Solution

The fourth proportional to 271,750.95, 407,210.76 and 113,893.29 is: 170,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,750.95 : 407,210.76 = 113,893.29 : x
  2. Step 2: Convert to fraction form
    271,750.95/407,210.76 = 113,893.29/x
  3. Step 3: Cross multiply
    271,750.95x = 407,210.76 × 113,893.29
  4. Step 4: Simplify right side
    271,750.95x = 46,378,573,179.80
  5. Step 5: Solve for x
    x = 46,378,573,179.80/271,750.95
  6. Step 6: Final answer
    x = 170,665.73

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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.