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Finding the Fourth Proportional to 295,702.52, 408,069.24 and 161,566.52

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Solution

The fourth proportional to 295,702.52, 408,069.24 and 161,566.52 is: 222,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,702.52 : 408,069.24 = 161,566.52 : x
  2. Step 2: Convert to fraction form
    295,702.52/408,069.24 = 161,566.52/x
  3. Step 3: Cross multiply
    295,702.52x = 408,069.24 × 161,566.52
  4. Step 4: Simplify right side
    295,702.52x = 65,930,327,025.84
  5. Step 5: Solve for x
    x = 65,930,327,025.84/295,702.52
  6. Step 6: Final answer
    x = 222,961.67

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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.