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Finding the Fourth Proportional to 201,337, 302,005.50 and 53,593

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Solution

The fourth proportional to 201,337, 302,005.50 and 53,593 is: 80,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,337 : 302,005.50 = 53,593 : x
  2. Step 2: Convert to fraction form
    201,337/302,005.50 = 53,593/x
  3. Step 3: Cross multiply
    201,337x = 302,005.50 × 53,593
  4. Step 4: Simplify right side
    201,337x = 16,185,380,761.50
  5. Step 5: Solve for x
    x = 16,185,380,761.50/201,337
  6. Step 6: Final answer
    x = 80,389.50

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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.