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Finding the Fourth Proportional to 105,108, 145,052.10 and 57,364.40

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Solution

The fourth proportional to 105,108, 145,052.10 and 57,364.40 is: 79,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,108 : 145,052.10 = 57,364.40 : x
  2. Step 2: Convert to fraction form
    105,108/145,052.10 = 57,364.40/x
  3. Step 3: Cross multiply
    105,108x = 145,052.10 × 57,364.40
  4. Step 4: Simplify right side
    105,108x = 8,320,826,685.24
  5. Step 5: Solve for x
    x = 8,320,826,685.24/105,108
  6. Step 6: Final answer
    x = 79,164.54

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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.