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Finding the Fourth Proportional to 201,464.80, 301,759.80 and 175,220.80

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Solution

The fourth proportional to 201,464.80, 301,759.80 and 175,220.80 is: 262,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,464.80 : 301,759.80 = 175,220.80 : x
  2. Step 2: Convert to fraction form
    201,464.80/301,759.80 = 175,220.80/x
  3. Step 3: Cross multiply
    201,464.80x = 301,759.80 × 175,220.80
  4. Step 4: Simplify right side
    201,464.80x = 52,874,593,563.84
  5. Step 5: Solve for x
    x = 52,874,593,563.84/201,464.80
  6. Step 6: Final answer
    x = 262,450.78

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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.