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Finding the Fourth Proportional to 271,830.35, 407,641.68 and 89,418.75

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Solution

The fourth proportional to 271,830.35, 407,641.68 and 89,418.75 is: 134,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,830.35 : 407,641.68 = 89,418.75 : x
  2. Step 2: Convert to fraction form
    271,830.35/407,641.68 = 89,418.75/x
  3. Step 3: Cross multiply
    271,830.35x = 407,641.68 × 89,418.75
  4. Step 4: Simplify right side
    271,830.35x = 36,450,809,473.50
  5. Step 5: Solve for x
    x = 36,450,809,473.50/271,830.35
  6. Step 6: Final answer
    x = 134,093.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.