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Finding the Fourth Proportional to 201,065.40, 301,452.30 and 82,675.80

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Solution

The fourth proportional to 201,065.40, 301,452.30 and 82,675.80 is: 123,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,065.40 : 301,452.30 = 82,675.80 : x
  2. Step 2: Convert to fraction form
    201,065.40/301,452.30 = 82,675.80/x
  3. Step 3: Cross multiply
    201,065.40x = 301,452.30 × 82,675.80
  4. Step 4: Simplify right side
    201,065.40x = 24,922,810,064.34
  5. Step 5: Solve for x
    x = 24,922,810,064.34/201,065.40
  6. Step 6: Final answer
    x = 123,953.75

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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.