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Finding the Fourth Proportional to 362,102.80, 543,154.20 and 212,414.80

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Solution

The fourth proportional to 362,102.80, 543,154.20 and 212,414.80 is: 318,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,102.80 : 543,154.20 = 212,414.80 : x
  2. Step 2: Convert to fraction form
    362,102.80/543,154.20 = 212,414.80/x
  3. Step 3: Cross multiply
    362,102.80x = 543,154.20 × 212,414.80
  4. Step 4: Simplify right side
    362,102.80x = 115,373,990,762.16
  5. Step 5: Solve for x
    x = 115,373,990,762.16/362,102.80
  6. Step 6: Final answer
    x = 318,622.20

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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.