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Finding the Fourth Proportional to 201,472.80, 301,863.60 and 96,064.80

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Solution

The fourth proportional to 201,472.80, 301,863.60 and 96,064.80 is: 143,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,472.80 : 301,863.60 = 96,064.80 : x
  2. Step 2: Convert to fraction form
    201,472.80/301,863.60 = 96,064.80/x
  3. Step 3: Cross multiply
    201,472.80x = 301,863.60 × 96,064.80
  4. Step 4: Simplify right side
    201,472.80x = 28,998,466,361.28
  5. Step 5: Solve for x
    x = 28,998,466,361.28/201,472.80
  6. Step 6: Final answer
    x = 143,932.41

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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.