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Finding the Fourth Proportional to 271,703.76, 407,568.60 and 113,937.36

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Solution

The fourth proportional to 271,703.76, 407,568.60 and 113,937.36 is: 170,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,703.76 : 407,568.60 = 113,937.36 : x
  2. Step 2: Convert to fraction form
    271,703.76/407,568.60 = 113,937.36/x
  3. Step 3: Cross multiply
    271,703.76x = 407,568.60 × 113,937.36
  4. Step 4: Simplify right side
    271,703.76x = 46,437,290,302.90
  5. Step 5: Solve for x
    x = 46,437,290,302.90/271,703.76
  6. Step 6: Final answer
    x = 170,911.47

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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.