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Finding the Fourth Proportional to 194,976.80, 292,027.80 and 159,984.80

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Solution

The fourth proportional to 194,976.80, 292,027.80 and 159,984.80 is: 239,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,976.80 : 292,027.80 = 159,984.80 : x
  2. Step 2: Convert to fraction form
    194,976.80/292,027.80 = 159,984.80/x
  3. Step 3: Cross multiply
    194,976.80x = 292,027.80 × 159,984.80
  4. Step 4: Simplify right side
    194,976.80x = 46,720,009,177.44
  5. Step 5: Solve for x
    x = 46,720,009,177.44/194,976.80
  6. Step 6: Final answer
    x = 239,618.30

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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.