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Finding the Fourth Proportional to 223,504.98, 335,477.79 and 164,174.10

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Solution

The fourth proportional to 223,504.98, 335,477.79 and 164,174.10 is: 246,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,504.98 : 335,477.79 = 164,174.10 : x
  2. Step 2: Convert to fraction form
    223,504.98/335,477.79 = 164,174.10/x
  3. Step 3: Cross multiply
    223,504.98x = 335,477.79 × 164,174.10
  4. Step 4: Simplify right side
    223,504.98x = 55,076,764,243.24
  5. Step 5: Solve for x
    x = 55,076,764,243.24/223,504.98
  6. Step 6: Final answer
    x = 246,422.98

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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.