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Finding the Fourth Proportional to 271,522.84, 407,120.50 and 121,735.96

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Solution

The fourth proportional to 271,522.84, 407,120.50 and 121,735.96 is: 182,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,522.84 : 407,120.50 = 121,735.96 : x
  2. Step 2: Convert to fraction form
    271,522.84/407,120.50 = 121,735.96/x
  3. Step 3: Cross multiply
    271,522.84x = 407,120.50 × 121,735.96
  4. Step 4: Simplify right side
    271,522.84x = 49,561,204,903.18
  5. Step 5: Solve for x
    x = 49,561,204,903.18/271,522.84
  6. Step 6: Final answer
    x = 182,530.52

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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.