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Finding the Fourth Proportional to 100,341.33, 150,216.74 and 66,978.64

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Solution

The fourth proportional to 100,341.33, 150,216.74 and 66,978.64 is: 100,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,341.33 : 150,216.74 = 66,978.64 : x
  2. Step 2: Convert to fraction form
    100,341.33/150,216.74 = 66,978.64/x
  3. Step 3: Cross multiply
    100,341.33x = 150,216.74 × 66,978.64
  4. Step 4: Simplify right side
    100,341.33x = 10,061,313,054.48
  5. Step 5: Solve for x
    x = 10,061,313,054.48/100,341.33
  6. Step 6: Final answer
    x = 100,270.88

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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.