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Finding the Fourth Proportional to 201,443.30, 301,727.55 and 122,711.30

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Solution

The fourth proportional to 201,443.30, 301,727.55 and 122,711.30 is: 183,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,443.30 : 301,727.55 = 122,711.30 : x
  2. Step 2: Convert to fraction form
    201,443.30/301,727.55 = 122,711.30/x
  3. Step 3: Cross multiply
    201,443.30x = 301,727.55 × 122,711.30
  4. Step 4: Simplify right side
    201,443.30x = 37,025,379,906.32
  5. Step 5: Solve for x
    x = 37,025,379,906.32/201,443.30
  6. Step 6: Final answer
    x = 183,800.50

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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.