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Finding the Fourth Proportional to 271,703.75, 407,424.54 and 113,889.83

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Solution

The fourth proportional to 271,703.75, 407,424.54 and 113,889.83 is: 170,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,703.75 : 407,424.54 = 113,889.83 : x
  2. Step 2: Convert to fraction form
    271,703.75/407,424.54 = 113,889.83/x
  3. Step 3: Cross multiply
    271,703.75x = 407,424.54 × 113,889.83
  4. Step 4: Simplify right side
    271,703.75x = 46,401,510,875.60
  5. Step 5: Solve for x
    x = 46,401,510,875.60/271,703.75
  6. Step 6: Final answer
    x = 170,779.80

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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.