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Finding the Fourth Proportional to 105,113.25, 145,059.36 and 57,369.66

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Solution

The fourth proportional to 105,113.25, 145,059.36 and 57,369.66 is: 79,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,113.25 : 145,059.36 = 57,369.66 : x
  2. Step 2: Convert to fraction form
    105,113.25/145,059.36 = 57,369.66/x
  3. Step 3: Cross multiply
    105,113.25x = 145,059.36 × 57,369.66
  4. Step 4: Simplify right side
    105,113.25x = 8,322,006,163.02
  5. Step 5: Solve for x
    x = 8,322,006,163.02/105,113.25
  6. Step 6: Final answer
    x = 79,171.81

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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.