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Finding the Fourth Proportional to 301,900.08, 416,622.42 and 165,933.96

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Solution

The fourth proportional to 301,900.08, 416,622.42 and 165,933.96 is: 228,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,900.08 : 416,622.42 = 165,933.96 : x
  2. Step 2: Convert to fraction form
    301,900.08/416,622.42 = 165,933.96/x
  3. Step 3: Cross multiply
    301,900.08x = 416,622.42 × 165,933.96
  4. Step 4: Simplify right side
    301,900.08x = 69,131,807,975.38
  5. Step 5: Solve for x
    x = 69,131,807,975.38/301,900.08
  6. Step 6: Final answer
    x = 228,989.03

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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.