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Finding the Fourth Proportional to 149,794.56, 224,696.44 and 65,511.36

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Solution

The fourth proportional to 149,794.56, 224,696.44 and 65,511.36 is: 98,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,794.56 : 224,696.44 = 65,511.36 : x
  2. Step 2: Convert to fraction form
    149,794.56/224,696.44 = 65,511.36/x
  3. Step 3: Cross multiply
    149,794.56x = 224,696.44 × 65,511.36
  4. Step 4: Simplify right side
    149,794.56x = 14,720,169,371.56
  5. Step 5: Solve for x
    x = 14,720,169,371.56/149,794.56
  6. Step 6: Final answer
    x = 98,269.05

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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.