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Finding the Fourth Proportional to 201,584.27, 302,563.49 and 101,814.53

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Solution

The fourth proportional to 201,584.27, 302,563.49 and 101,814.53 is: 152,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,584.27 : 302,563.49 = 101,814.53 : x
  2. Step 2: Convert to fraction form
    201,584.27/302,563.49 = 101,814.53/x
  3. Step 3: Cross multiply
    201,584.27x = 302,563.49 × 101,814.53
  4. Step 4: Simplify right side
    201,584.27x = 30,805,357,507.62
  5. Step 5: Solve for x
    x = 30,805,357,507.62/201,584.27
  6. Step 6: Final answer
    x = 152,816.27

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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.