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Finding the Fourth Proportional to 103,096.36, 154,704.06 and 55,711.60

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Solution

The fourth proportional to 103,096.36, 154,704.06 and 55,711.60 is: 83,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,096.36 : 154,704.06 = 55,711.60 : x
  2. Step 2: Convert to fraction form
    103,096.36/154,704.06 = 55,711.60/x
  3. Step 3: Cross multiply
    103,096.36x = 154,704.06 × 55,711.60
  4. Step 4: Simplify right side
    103,096.36x = 8,618,810,709.10
  5. Step 5: Solve for x
    x = 8,618,810,709.10/103,096.36
  6. Step 6: Final answer
    x = 83,599.56

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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.