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Finding the Fourth Proportional to 295,923.50, 408,375.87 and 161,787.50

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Solution

The fourth proportional to 295,923.50, 408,375.87 and 161,787.50 is: 223,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,923.50 : 408,375.87 = 161,787.50 : x
  2. Step 2: Convert to fraction form
    295,923.50/408,375.87 = 161,787.50/x
  3. Step 3: Cross multiply
    295,923.50x = 408,375.87 × 161,787.50
  4. Step 4: Simplify right side
    295,923.50x = 66,070,111,067.63
  5. Step 5: Solve for x
    x = 66,070,111,067.63/295,923.50
  6. Step 6: Final answer
    x = 223,267.54

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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.