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Finding the Fourth Proportional to 106,780.80, 160,034.88 and 50,620.80

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Solution

The fourth proportional to 106,780.80, 160,034.88 and 50,620.80 is: 75,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,780.80 : 160,034.88 = 50,620.80 : x
  2. Step 2: Convert to fraction form
    106,780.80/160,034.88 = 50,620.80/x
  3. Step 3: Cross multiply
    106,780.80x = 160,034.88 × 50,620.80
  4. Step 4: Simplify right side
    106,780.80x = 8,101,093,653.50
  5. Step 5: Solve for x
    x = 8,101,093,653.50/106,780.80
  6. Step 6: Final answer
    x = 75,866.58

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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.