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Finding the Fourth Proportional to 228,433.14, 315,380.70 and 146,794.44

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Solution

The fourth proportional to 228,433.14, 315,380.70 and 146,794.44 is: 202,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,433.14 : 315,380.70 = 146,794.44 : x
  2. Step 2: Convert to fraction form
    228,433.14/315,380.70 = 146,794.44/x
  3. Step 3: Cross multiply
    228,433.14x = 315,380.70 × 146,794.44
  4. Step 4: Simplify right side
    228,433.14x = 46,296,133,243.31
  5. Step 5: Solve for x
    x = 46,296,133,243.31/228,433.14
  6. Step 6: Final answer
    x = 202,668.20

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