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Finding the Fourth Proportional to 111,774.36, 154,312.38 and 74,099.64

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Solution

The fourth proportional to 111,774.36, 154,312.38 and 74,099.64 is: 102,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,774.36 : 154,312.38 = 74,099.64 : x
  2. Step 2: Convert to fraction form
    111,774.36/154,312.38 = 74,099.64/x
  3. Step 3: Cross multiply
    111,774.36x = 154,312.38 × 74,099.64
  4. Step 4: Simplify right side
    111,774.36x = 11,434,491,805.54
  5. Step 5: Solve for x
    x = 11,434,491,805.54/111,774.36
  6. Step 6: Final answer
    x = 102,299.77

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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.