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Finding the Fourth Proportional to 200,164.60, 300,149.70 and 111,323.80

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Solution

The fourth proportional to 200,164.60, 300,149.70 and 111,323.80 is: 166,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,164.60 : 300,149.70 = 111,323.80 : x
  2. Step 2: Convert to fraction form
    200,164.60/300,149.70 = 111,323.80/x
  3. Step 3: Cross multiply
    200,164.60x = 300,149.70 × 111,323.80
  4. Step 4: Simplify right side
    200,164.60x = 33,413,805,172.86
  5. Step 5: Solve for x
    x = 33,413,805,172.86/200,164.60
  6. Step 6: Final answer
    x = 166,931.64

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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.