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Finding the Fourth Proportional to 264,915.70, 397,114.35 and 106,933.30

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Solution

The fourth proportional to 264,915.70, 397,114.35 and 106,933.30 is: 160,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,915.70 : 397,114.35 = 106,933.30 : x
  2. Step 2: Convert to fraction form
    264,915.70/397,114.35 = 106,933.30/x
  3. Step 3: Cross multiply
    264,915.70x = 397,114.35 × 106,933.30
  4. Step 4: Simplify right side
    264,915.70x = 42,464,747,922.86
  5. Step 5: Solve for x
    x = 42,464,747,922.86/264,915.70
  6. Step 6: Final answer
    x = 160,295.32

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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.