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Finding the Fourth Proportional to 201,711.80, 290,838.24 and 201,711.80

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Solution

The fourth proportional to 201,711.80, 290,838.24 and 201,711.80 is: 290,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,711.80 : 290,838.24 = 201,711.80 : x
  2. Step 2: Convert to fraction form
    201,711.80/290,838.24 = 201,711.80/x
  3. Step 3: Cross multiply
    201,711.80x = 290,838.24 × 201,711.80
  4. Step 4: Simplify right side
    201,711.80x = 58,665,504,899.23
  5. Step 5: Solve for x
    x = 58,665,504,899.23/201,711.80
  6. Step 6: Final answer
    x = 290,838.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.