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Finding the Fourth Proportional to 164,996.76, 227,523.42 and 97,915.80

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Solution

The fourth proportional to 164,996.76, 227,523.42 and 97,915.80 is: 135,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,996.76 : 227,523.42 = 97,915.80 : x
  2. Step 2: Convert to fraction form
    164,996.76/227,523.42 = 97,915.80/x
  3. Step 3: Cross multiply
    164,996.76x = 227,523.42 × 97,915.80
  4. Step 4: Simplify right side
    164,996.76x = 22,278,137,688.04
  5. Step 5: Solve for x
    x = 22,278,137,688.04/164,996.76
  6. Step 6: Final answer
    x = 135,021.67

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Why These Related Problems?

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