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Finding the Fourth Proportional to 197,184, 295,825.89 and 55,029.25

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Solution

The fourth proportional to 197,184, 295,825.89 and 55,029.25 is: 82,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,184 : 295,825.89 = 55,029.25 : x
  2. Step 2: Convert to fraction form
    197,184/295,825.89 = 55,029.25/x
  3. Step 3: Cross multiply
    197,184x = 295,825.89 × 55,029.25
  4. Step 4: Simplify right side
    197,184x = 16,279,076,857.28
  5. Step 5: Solve for x
    x = 16,279,076,857.28/197,184
  6. Step 6: Final answer
    x = 82,557.80

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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.