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Finding the Fourth Proportional to 100,148.40, 150,222.60 and 33,566.40

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Solution

The fourth proportional to 100,148.40, 150,222.60 and 33,566.40 is: 50,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,148.40 : 150,222.60 = 33,566.40 : x
  2. Step 2: Convert to fraction form
    100,148.40/150,222.60 = 33,566.40/x
  3. Step 3: Cross multiply
    100,148.40x = 150,222.60 × 33,566.40
  4. Step 4: Simplify right side
    100,148.40x = 5,042,431,880.64
  5. Step 5: Solve for x
    x = 5,042,431,880.64/100,148.40
  6. Step 6: Final answer
    x = 50,349.60

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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.