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Finding the Fourth Proportional to 257,072.00, 354,568.21 and 166,357.98

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Solution

The fourth proportional to 257,072.00, 354,568.21 and 166,357.98 is: 229,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,072.00 : 354,568.21 = 166,357.98 : x
  2. Step 2: Convert to fraction form
    257,072.00/354,568.21 = 166,357.98/x
  3. Step 3: Cross multiply
    257,072.00x = 354,568.21 × 166,357.98
  4. Step 4: Simplify right side
    257,072.00x = 58,985,250,771.92
  5. Step 5: Solve for x
    x = 58,985,250,771.92/257,072.00
  6. Step 6: Final answer
    x = 229,450.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.