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Finding the Fourth Proportional to 196,373.50, 270,995.44 and 106,949.50

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Solution

The fourth proportional to 196,373.50, 270,995.44 and 106,949.50 is: 147,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,373.50 : 270,995.44 = 106,949.50 : x
  2. Step 2: Convert to fraction form
    196,373.50/270,995.44 = 106,949.50/x
  3. Step 3: Cross multiply
    196,373.50x = 270,995.44 × 106,949.50
  4. Step 4: Simplify right side
    196,373.50x = 28,982,826,810.28
  5. Step 5: Solve for x
    x = 28,982,826,810.28/196,373.50
  6. Step 6: Final answer
    x = 147,590.32

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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.