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Finding the Fourth Proportional to 201,936.80, 302,905.20 and 52,176.80

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Solution

The fourth proportional to 201,936.80, 302,905.20 and 52,176.80 is: 78,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,936.80 : 302,905.20 = 52,176.80 : x
  2. Step 2: Convert to fraction form
    201,936.80/302,905.20 = 52,176.80/x
  3. Step 3: Cross multiply
    201,936.80x = 302,905.20 × 52,176.80
  4. Step 4: Simplify right side
    201,936.80x = 15,804,624,039.36
  5. Step 5: Solve for x
    x = 15,804,624,039.36/201,936.80
  6. Step 6: Final answer
    x = 78,265.20

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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.