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Finding the Fourth Proportional to 200,744, 301,136.16 and 53,000

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Solution

The fourth proportional to 200,744, 301,136.16 and 53,000 is: 79,505.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744 : 301,136.16 = 53,000 : x
  2. Step 2: Convert to fraction form
    200,744/301,136.16 = 53,000/x
  3. Step 3: Cross multiply
    200,744x = 301,136.16 × 53,000
  4. Step 4: Simplify right side
    200,744x = 15,960,216,480.00
  5. Step 5: Solve for x
    x = 15,960,216,480.00/200,744
  6. Step 6: Final answer
    x = 79,505.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.