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Finding the Fourth Proportional to 183,285.20, 274,841.52 and 71,018

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Solution

The fourth proportional to 183,285.20, 274,841.52 and 71,018 is: 106,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,285.20 : 274,841.52 = 71,018 : x
  2. Step 2: Convert to fraction form
    183,285.20/274,841.52 = 71,018/x
  3. Step 3: Cross multiply
    183,285.20x = 274,841.52 × 71,018
  4. Step 4: Simplify right side
    183,285.20x = 19,518,695,067.36
  5. Step 5: Solve for x
    x = 19,518,695,067.36/183,285.20
  6. Step 6: Final answer
    x = 106,493.57

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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.