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Finding the Fourth Proportional to 208,059.44, 287,415.96 and 165,563.60

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Solution

The fourth proportional to 208,059.44, 287,415.96 and 165,563.60 is: 228,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,059.44 : 287,415.96 = 165,563.60 : x
  2. Step 2: Convert to fraction form
    208,059.44/287,415.96 = 165,563.60/x
  3. Step 3: Cross multiply
    208,059.44x = 287,415.96 × 165,563.60
  4. Step 4: Simplify right side
    208,059.44x = 47,585,621,035.06
  5. Step 5: Solve for x
    x = 47,585,621,035.06/208,059.44
  6. Step 6: Final answer
    x = 228,711.67

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1.5x scale

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.