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Finding the Fourth Proportional to 271,703.25, 407,423.77 and 113,889.33

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Solution

The fourth proportional to 271,703.25, 407,423.77 and 113,889.33 is: 170,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,703.25 : 407,423.77 = 113,889.33 : x
  2. Step 2: Convert to fraction form
    271,703.25/407,423.77 = 113,889.33/x
  3. Step 3: Cross multiply
    271,703.25x = 407,423.77 × 113,889.33
  4. Step 4: Simplify right side
    271,703.25x = 46,401,220,191.37
  5. Step 5: Solve for x
    x = 46,401,220,191.37/271,703.25
  6. Step 6: Final answer
    x = 170,779.04

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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.