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Finding the Fourth Proportional to 271,969.60, 407,954.72 and 84,982.08

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Solution

The fourth proportional to 271,969.60, 407,954.72 and 84,982.08 is: 127,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,969.60 : 407,954.72 = 84,982.08 : x
  2. Step 2: Convert to fraction form
    271,969.60/407,954.72 = 84,982.08/x
  3. Step 3: Cross multiply
    271,969.60x = 407,954.72 × 84,982.08
  4. Step 4: Simplify right side
    271,969.60x = 34,668,840,651.42
  5. Step 5: Solve for x
    x = 34,668,840,651.42/271,969.60
  6. Step 6: Final answer
    x = 127,473.22

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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.