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Finding the Fourth Proportional to 143,531.44, 198,064.97 and 83,097.80

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Solution

The fourth proportional to 143,531.44, 198,064.97 and 83,097.80 is: 114,670.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,531.44 : 198,064.97 = 83,097.80 : x
  2. Step 2: Convert to fraction form
    143,531.44/198,064.97 = 83,097.80/x
  3. Step 3: Cross multiply
    143,531.44x = 198,064.97 × 83,097.80
  4. Step 4: Simplify right side
    143,531.44x = 16,458,763,146.33
  5. Step 5: Solve for x
    x = 16,458,763,146.33/143,531.44
  6. Step 6: Final answer
    x = 114,670.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.