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Finding the Fourth Proportional to 201,076.90, 301,615.35 and 82,708.90

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Solution

The fourth proportional to 201,076.90, 301,615.35 and 82,708.90 is: 124,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,076.90 : 301,615.35 = 82,708.90 : x
  2. Step 2: Convert to fraction form
    201,076.90/301,615.35 = 82,708.90/x
  3. Step 3: Cross multiply
    201,076.90x = 301,615.35 × 82,708.90
  4. Step 4: Simplify right side
    201,076.90x = 24,946,273,821.62
  5. Step 5: Solve for x
    x = 24,946,273,821.62/201,076.90
  6. Step 6: Final answer
    x = 124,063.35

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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.