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Finding the Fourth Proportional to 106,955.80, 160,433.70 and 71,704.60

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Solution

The fourth proportional to 106,955.80, 160,433.70 and 71,704.60 is: 107,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,955.80 : 160,433.70 = 71,704.60 : x
  2. Step 2: Convert to fraction form
    106,955.80/160,433.70 = 71,704.60/x
  3. Step 3: Cross multiply
    106,955.80x = 160,433.70 × 71,704.60
  4. Step 4: Simplify right side
    106,955.80x = 11,503,834,285.02
  5. Step 5: Solve for x
    x = 11,503,834,285.02/106,955.80
  6. Step 6: Final answer
    x = 107,556.90

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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.