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Finding the Fourth Proportional to 240,898, 332,439.24 and 146,690

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Solution

The fourth proportional to 240,898, 332,439.24 and 146,690 is: 202,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,898 : 332,439.24 = 146,690 : x
  2. Step 2: Convert to fraction form
    240,898/332,439.24 = 146,690/x
  3. Step 3: Cross multiply
    240,898x = 332,439.24 × 146,690
  4. Step 4: Simplify right side
    240,898x = 48,765,512,115.60
  5. Step 5: Solve for x
    x = 48,765,512,115.60/240,898
  6. Step 6: Final answer
    x = 202,432.20

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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.