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Finding the Fourth Proportional to 271,169.73, 406,513.94 and 102,572.01

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Solution

The fourth proportional to 271,169.73, 406,513.94 and 102,572.01 is: 153,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,169.73 : 406,513.94 = 102,572.01 : x
  2. Step 2: Convert to fraction form
    271,169.73/406,513.94 = 102,572.01/x
  3. Step 3: Cross multiply
    271,169.73x = 406,513.94 × 102,572.01
  4. Step 4: Simplify right side
    271,169.73x = 41,696,951,405.96
  5. Step 5: Solve for x
    x = 41,696,951,405.96/271,169.73
  6. Step 6: Final answer
    x = 153,766.98

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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.