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Finding the Fourth Proportional to 107,230.40, 160,975.20 and 106,452.80

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Solution

The fourth proportional to 107,230.40, 160,975.20 and 106,452.80 is: 159,807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,230.40 : 160,975.20 = 106,452.80 : x
  2. Step 2: Convert to fraction form
    107,230.40/160,975.20 = 106,452.80/x
  3. Step 3: Cross multiply
    107,230.40x = 160,975.20 × 106,452.80
  4. Step 4: Simplify right side
    107,230.40x = 17,136,260,770.56
  5. Step 5: Solve for x
    x = 17,136,260,770.56/107,230.40
  6. Step 6: Final answer
    x = 159,807.86

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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.