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Finding the Fourth Proportional to 105,137.33, 145,084.01 and 57,381.41

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Solution

The fourth proportional to 105,137.33, 145,084.01 and 57,381.41 is: 79,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,137.33 : 145,084.01 = 57,381.41 : x
  2. Step 2: Convert to fraction form
    105,137.33/145,084.01 = 57,381.41/x
  3. Step 3: Cross multiply
    105,137.33x = 145,084.01 × 57,381.41
  4. Step 4: Simplify right side
    105,137.33x = 8,325,124,049.93
  5. Step 5: Solve for x
    x = 8,325,124,049.93/105,137.33
  6. Step 6: Final answer
    x = 79,183.34

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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.