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Finding the Fourth Proportional to 106,851.87, 160,136.24 and 56,824.25

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Solution

The fourth proportional to 106,851.87, 160,136.24 and 56,824.25 is: 85,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,851.87 : 160,136.24 = 56,824.25 : x
  2. Step 2: Convert to fraction form
    106,851.87/160,136.24 = 56,824.25/x
  3. Step 3: Cross multiply
    106,851.87x = 160,136.24 × 56,824.25
  4. Step 4: Simplify right side
    106,851.87x = 9,099,620,651.02
  5. Step 5: Solve for x
    x = 9,099,620,651.02/106,851.87
  6. Step 6: Final answer
    x = 85,161.08

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1.5x scale

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.