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Finding the Fourth Proportional to 106,930.80, 160,396.20 and 65,458.80

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Solution

The fourth proportional to 106,930.80, 160,396.20 and 65,458.80 is: 98,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,930.80 : 160,396.20 = 65,458.80 : x
  2. Step 2: Convert to fraction form
    106,930.80/160,396.20 = 65,458.80/x
  3. Step 3: Cross multiply
    106,930.80x = 160,396.20 × 65,458.80
  4. Step 4: Simplify right side
    106,930.80x = 10,499,342,776.56
  5. Step 5: Solve for x
    x = 10,499,342,776.56/106,930.80
  6. Step 6: Final answer
    x = 98,188.20

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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.