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Finding the Fourth Proportional to 271,755.76, 407,502.42 and 113,941.84

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Solution

The fourth proportional to 271,755.76, 407,502.42 and 113,941.84 is: 170,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,755.76 : 407,502.42 = 113,941.84 : x
  2. Step 2: Convert to fraction form
    271,755.76/407,502.42 = 113,941.84/x
  3. Step 3: Cross multiply
    271,755.76x = 407,502.42 × 113,941.84
  4. Step 4: Simplify right side
    271,755.76x = 46,431,575,539.25
  5. Step 5: Solve for x
    x = 46,431,575,539.25/271,755.76
  6. Step 6: Final answer
    x = 170,857.74

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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.