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Finding the Fourth Proportional to 100,882.20, 151,307.10 and 30,745.20

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Solution

The fourth proportional to 100,882.20, 151,307.10 and 30,745.20 is: 46,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,882.20 : 151,307.10 = 30,745.20 : x
  2. Step 2: Convert to fraction form
    100,882.20/151,307.10 = 30,745.20/x
  3. Step 3: Cross multiply
    100,882.20x = 151,307.10 × 30,745.20
  4. Step 4: Simplify right side
    100,882.20x = 4,651,967,050.92
  5. Step 5: Solve for x
    x = 4,651,967,050.92/100,882.20
  6. Step 6: Final answer
    x = 46,112.86

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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.