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Finding the Fourth Proportional to 271,847.92, 407,771.88 and 84,875.44

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Solution

The fourth proportional to 271,847.92, 407,771.88 and 84,875.44 is: 127,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,847.92 : 407,771.88 = 84,875.44 : x
  2. Step 2: Convert to fraction form
    271,847.92/407,771.88 = 84,875.44/x
  3. Step 3: Cross multiply
    271,847.92x = 407,771.88 × 84,875.44
  4. Step 4: Simplify right side
    271,847.92x = 34,609,817,734.63
  5. Step 5: Solve for x
    x = 34,609,817,734.63/271,847.92
  6. Step 6: Final answer
    x = 127,313.16

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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.