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Finding the Fourth Proportional to 213,771.36, 295,138.32 and 137,321.28

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Solution

The fourth proportional to 213,771.36, 295,138.32 and 137,321.28 is: 189,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,771.36 : 295,138.32 = 137,321.28 : x
  2. Step 2: Convert to fraction form
    213,771.36/295,138.32 = 137,321.28/x
  3. Step 3: Cross multiply
    213,771.36x = 295,138.32 × 137,321.28
  4. Step 4: Simplify right side
    213,771.36x = 40,528,771,879.45
  5. Step 5: Solve for x
    x = 40,528,771,879.45/213,771.36
  6. Step 6: Final answer
    x = 189,589.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.