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Finding the Fourth Proportional to 201,828.06, 302,771.43 and 61,568.46

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Solution

The fourth proportional to 201,828.06, 302,771.43 and 61,568.46 is: 92,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,828.06 : 302,771.43 = 61,568.46 : x
  2. Step 2: Convert to fraction form
    201,828.06/302,771.43 = 61,568.46/x
  3. Step 3: Cross multiply
    201,828.06x = 302,771.43 × 61,568.46
  4. Step 4: Simplify right side
    201,828.06x = 18,641,170,677.10
  5. Step 5: Solve for x
    x = 18,641,170,677.10/201,828.06
  6. Step 6: Final answer
    x = 92,361.64

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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.