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Finding the Fourth Proportional to 201,172.75, 301,299.72 and 96,065.53

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Solution

The fourth proportional to 201,172.75, 301,299.72 and 96,065.53 is: 143,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,172.75 : 301,299.72 = 96,065.53 : x
  2. Step 2: Convert to fraction form
    201,172.75/301,299.72 = 96,065.53/x
  3. Step 3: Cross multiply
    201,172.75x = 301,299.72 × 96,065.53
  4. Step 4: Simplify right side
    201,172.75x = 28,944,517,290.65
  5. Step 5: Solve for x
    x = 28,944,517,290.65/201,172.75
  6. Step 6: Final answer
    x = 143,878.92

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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.