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Finding the Fourth Proportional to 271,843.82, 407,815.93 and 89,484.93

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Solution

The fourth proportional to 271,843.82, 407,815.93 and 89,484.93 is: 134,243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,843.82 : 407,815.93 = 89,484.93 : x
  2. Step 2: Convert to fraction form
    271,843.82/407,815.93 = 89,484.93/x
  3. Step 3: Cross multiply
    271,843.82x = 407,815.93 × 89,484.93
  4. Step 4: Simplify right side
    271,843.82x = 36,493,379,501.51
  5. Step 5: Solve for x
    x = 36,493,379,501.51/271,843.82
  6. Step 6: Final answer
    x = 134,243.92

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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.