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Finding the Fourth Proportional to 400,096, 600,149.76 and 104,608

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Solution

The fourth proportional to 400,096, 600,149.76 and 104,608 is: 156,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,096 : 600,149.76 = 104,608 : x
  2. Step 2: Convert to fraction form
    400,096/600,149.76 = 104,608/x
  3. Step 3: Cross multiply
    400,096x = 600,149.76 × 104,608
  4. Step 4: Simplify right side
    400,096x = 62,780,466,094.08
  5. Step 5: Solve for x
    x = 62,780,466,094.08/400,096
  6. Step 6: Final answer
    x = 156,913.51

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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.