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Finding the Fourth Proportional to 379,007.30, 568,344.50 and 142,184.06

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Solution

The fourth proportional to 379,007.30, 568,344.50 and 142,184.06 is: 213,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,007.30 : 568,344.50 = 142,184.06 : x
  2. Step 2: Convert to fraction form
    379,007.30/568,344.50 = 142,184.06/x
  3. Step 3: Cross multiply
    379,007.30x = 568,344.50 × 142,184.06
  4. Step 4: Simplify right side
    379,007.30x = 80,809,527,600.51
  5. Step 5: Solve for x
    x = 80,809,527,600.51/379,007.30
  6. Step 6: Final answer
    x = 213,213.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.