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Finding the Fourth Proportional to 201,480.80, 301,875.60 and 96,072.80

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Solution

The fourth proportional to 201,480.80, 301,875.60 and 96,072.80 is: 143,944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,480.80 : 301,875.60 = 96,072.80 : x
  2. Step 2: Convert to fraction form
    201,480.80/301,875.60 = 96,072.80/x
  3. Step 3: Cross multiply
    201,480.80x = 301,875.60 × 96,072.80
  4. Step 4: Simplify right side
    201,480.80x = 29,002,034,143.68
  5. Step 5: Solve for x
    x = 29,002,034,143.68/201,480.80
  6. Step 6: Final answer
    x = 143,944.41

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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.