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Finding the Fourth Proportional to 100,086.94, 150,113.10 and 46,783.73

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Solution

The fourth proportional to 100,086.94, 150,113.10 and 46,783.73 is: 70,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,086.94 : 150,113.10 = 46,783.73 : x
  2. Step 2: Convert to fraction form
    100,086.94/150,113.10 = 46,783.73/x
  3. Step 3: Cross multiply
    100,086.94x = 150,113.10 × 46,783.73
  4. Step 4: Simplify right side
    100,086.94x = 7,022,850,183.04
  5. Step 5: Solve for x
    x = 7,022,850,183.04/100,086.94
  6. Step 6: Final answer
    x = 70,167.50

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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.