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Finding the Fourth Proportional to 105,127.70, 145,076.85 and 57,380.02

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Solution

The fourth proportional to 105,127.70, 145,076.85 and 57,380.02 is: 79,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,127.70 : 145,076.85 = 57,380.02 : x
  2. Step 2: Convert to fraction form
    105,127.70/145,076.85 = 57,380.02/x
  3. Step 3: Cross multiply
    105,127.70x = 145,076.85 × 57,380.02
  4. Step 4: Simplify right side
    105,127.70x = 8,324,512,191.84
  5. Step 5: Solve for x
    x = 8,324,512,191.84/105,127.70
  6. Step 6: Final answer
    x = 79,184.77

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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.