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Finding the Fourth Proportional to 194,798.70, 292,198.05 and 161,556.30

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Solution

The fourth proportional to 194,798.70, 292,198.05 and 161,556.30 is: 242,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,798.70 : 292,198.05 = 161,556.30 : x
  2. Step 2: Convert to fraction form
    194,798.70/292,198.05 = 161,556.30/x
  3. Step 3: Cross multiply
    194,798.70x = 292,198.05 × 161,556.30
  4. Step 4: Simplify right side
    194,798.70x = 47,206,435,825.22
  5. Step 5: Solve for x
    x = 47,206,435,825.22/194,798.70
  6. Step 6: Final answer
    x = 242,334.45

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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.