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Finding the Fourth Proportional to 143,025.12, 214,489.08 and 49,509

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Solution

The fourth proportional to 143,025.12, 214,489.08 and 49,509 is: 74,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,025.12 : 214,489.08 = 49,509 : x
  2. Step 2: Convert to fraction form
    143,025.12/214,489.08 = 49,509/x
  3. Step 3: Cross multiply
    143,025.12x = 214,489.08 × 49,509
  4. Step 4: Simplify right side
    143,025.12x = 10,619,139,861.72
  5. Step 5: Solve for x
    x = 10,619,139,861.72/143,025.12
  6. Step 6: Final answer
    x = 74,246.68

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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.