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Finding the Fourth Proportional to 271,680.54, 407,542.41 and 84,693.66

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Solution

The fourth proportional to 271,680.54, 407,542.41 and 84,693.66 is: 127,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,680.54 : 407,542.41 = 84,693.66 : x
  2. Step 2: Convert to fraction form
    271,680.54/407,542.41 = 84,693.66/x
  3. Step 3: Cross multiply
    271,680.54x = 407,542.41 × 84,693.66
  4. Step 4: Simplify right side
    271,680.54x = 34,516,258,308.12
  5. Step 5: Solve for x
    x = 34,516,258,308.12/271,680.54
  6. Step 6: Final answer
    x = 127,047.22

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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.