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Finding the Fourth Proportional to 118,418.08, 177,622.24 and 65,794

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Solution

The fourth proportional to 118,418.08, 177,622.24 and 65,794 is: 98,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,418.08 : 177,622.24 = 65,794 : x
  2. Step 2: Convert to fraction form
    118,418.08/177,622.24 = 65,794/x
  3. Step 3: Cross multiply
    118,418.08x = 177,622.24 × 65,794
  4. Step 4: Simplify right side
    118,418.08x = 11,686,477,658.56
  5. Step 5: Solve for x
    x = 11,686,477,658.56/118,418.08
  6. Step 6: Final answer
    x = 98,688.29

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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.