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Finding the Fourth Proportional to 298,002.30, 411,243.07 and 163,866.30

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Solution

The fourth proportional to 298,002.30, 411,243.07 and 163,866.30 is: 226,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,002.30 : 411,243.07 = 163,866.30 : x
  2. Step 2: Convert to fraction form
    298,002.30/411,243.07 = 163,866.30/x
  3. Step 3: Cross multiply
    298,002.30x = 411,243.07 × 163,866.30
  4. Step 4: Simplify right side
    298,002.30x = 67,388,880,281.54
  5. Step 5: Solve for x
    x = 67,388,880,281.54/298,002.30
  6. Step 6: Final answer
    x = 226,135.44

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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.