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Finding the Fourth Proportional to 100,106.75, 150,162 and 46,784.09

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Solution

The fourth proportional to 100,106.75, 150,162 and 46,784.09 is: 70,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,106.75 : 150,162 = 46,784.09 : x
  2. Step 2: Convert to fraction form
    100,106.75/150,162 = 46,784.09/x
  3. Step 3: Cross multiply
    100,106.75x = 150,162 × 46,784.09
  4. Step 4: Simplify right side
    100,106.75x = 7,025,192,897.99
  5. Step 5: Solve for x
    x = 7,025,192,897.99/100,106.75
  6. Step 6: Final answer
    x = 70,177.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.