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Finding the Fourth Proportional to 196,247.80, 294,371.70 and 102,782.20

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Solution

The fourth proportional to 196,247.80, 294,371.70 and 102,782.20 is: 154,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,247.80 : 294,371.70 = 102,782.20 : x
  2. Step 2: Convert to fraction form
    196,247.80/294,371.70 = 102,782.20/x
  3. Step 3: Cross multiply
    196,247.80x = 294,371.70 × 102,782.20
  4. Step 4: Simplify right side
    196,247.80x = 30,256,170,943.74
  5. Step 5: Solve for x
    x = 30,256,170,943.74/196,247.80
  6. Step 6: Final answer
    x = 154,173.30

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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.