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Finding the Fourth Proportional to 105,477.87, 145,558.34 and 57,078.73

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Solution

The fourth proportional to 105,477.87, 145,558.34 and 57,078.73 is: 78,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,477.87 : 145,558.34 = 57,078.73 : x
  2. Step 2: Convert to fraction form
    105,477.87/145,558.34 = 57,078.73/x
  3. Step 3: Cross multiply
    105,477.87x = 145,558.34 × 57,078.73
  4. Step 4: Simplify right side
    105,477.87x = 8,308,285,188.11
  5. Step 5: Solve for x
    x = 8,308,285,188.11/105,477.87
  6. Step 6: Final answer
    x = 78,768.04

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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.