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Finding the Fourth Proportional to 143,246.41, 214,665.86 and 105,509.73

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Solution

The fourth proportional to 143,246.41, 214,665.86 and 105,509.73 is: 158,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,246.41 : 214,665.86 = 105,509.73 : x
  2. Step 2: Convert to fraction form
    143,246.41/214,665.86 = 105,509.73/x
  3. Step 3: Cross multiply
    143,246.41x = 214,665.86 × 105,509.73
  4. Step 4: Simplify right side
    143,246.41x = 22,649,335,327.94
  5. Step 5: Solve for x
    x = 22,649,335,327.94/143,246.41
  6. Step 6: Final answer
    x = 158,114.51

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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.