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Finding the Fourth Proportional to 271,762.86, 375,067.34 and 164,333.67

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Solution

The fourth proportional to 271,762.86, 375,067.34 and 164,333.67 is: 226,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,762.86 : 375,067.34 = 164,333.67 : x
  2. Step 2: Convert to fraction form
    271,762.86/375,067.34 = 164,333.67/x
  3. Step 3: Cross multiply
    271,762.86x = 375,067.34 × 164,333.67
  4. Step 4: Simplify right side
    271,762.86x = 61,636,192,479.34
  5. Step 5: Solve for x
    x = 61,636,192,479.34/271,762.86
  6. Step 6: Final answer
    x = 226,801.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.