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Finding the Fourth Proportional to 107,059.20, 160,588.80 and 54,571.20

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Solution

The fourth proportional to 107,059.20, 160,588.80 and 54,571.20 is: 81,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,059.20 : 160,588.80 = 54,571.20 : x
  2. Step 2: Convert to fraction form
    107,059.20/160,588.80 = 54,571.20/x
  3. Step 3: Cross multiply
    107,059.20x = 160,588.80 × 54,571.20
  4. Step 4: Simplify right side
    107,059.20x = 8,763,523,522.56
  5. Step 5: Solve for x
    x = 8,763,523,522.56/107,059.20
  6. Step 6: Final answer
    x = 81,856.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.