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Finding the Fourth Proportional to 201,272.70, 277,999.91 and 146,738.50

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Solution

The fourth proportional to 201,272.70, 277,999.91 and 146,738.50 is: 202,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,272.70 : 277,999.91 = 146,738.50 : x
  2. Step 2: Convert to fraction form
    201,272.70/277,999.91 = 146,738.50/x
  3. Step 3: Cross multiply
    201,272.70x = 277,999.91 × 146,738.50
  4. Step 4: Simplify right side
    201,272.70x = 40,793,289,793.54
  5. Step 5: Solve for x
    x = 40,793,289,793.54/201,272.70
  6. Step 6: Final answer
    x = 202,676.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.