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Finding the Fourth Proportional to 200,096.60, 300,047.70 and 111,255.80

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Solution

The fourth proportional to 200,096.60, 300,047.70 and 111,255.80 is: 166,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,096.60 : 300,047.70 = 111,255.80 : x
  2. Step 2: Convert to fraction form
    200,096.60/300,047.70 = 111,255.80/x
  3. Step 3: Cross multiply
    200,096.60x = 300,047.70 × 111,255.80
  4. Step 4: Simplify right side
    200,096.60x = 33,382,046,901.66
  5. Step 5: Solve for x
    x = 33,382,046,901.66/200,096.60
  6. Step 6: Final answer
    x = 166,829.66

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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.