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Finding the Fourth Proportional to 205,954.38, 308,928.33 and 150,148.62

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Solution

The fourth proportional to 205,954.38, 308,928.33 and 150,148.62 is: 225,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,954.38 : 308,928.33 = 150,148.62 : x
  2. Step 2: Convert to fraction form
    205,954.38/308,928.33 = 150,148.62/x
  3. Step 3: Cross multiply
    205,954.38x = 308,928.33 × 150,148.62
  4. Step 4: Simplify right side
    205,954.38x = 46,385,162,428.40
  5. Step 5: Solve for x
    x = 46,385,162,428.40/205,954.38
  6. Step 6: Final answer
    x = 225,220.57

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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.