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Finding the Fourth Proportional to 146,164, 219,253.20 and 47,668

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Solution

The fourth proportional to 146,164, 219,253.20 and 47,668 is: 71,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,164 : 219,253.20 = 47,668 : x
  2. Step 2: Convert to fraction form
    146,164/219,253.20 = 47,668/x
  3. Step 3: Cross multiply
    146,164x = 219,253.20 × 47,668
  4. Step 4: Simplify right side
    146,164x = 10,451,361,537.60
  5. Step 5: Solve for x
    x = 10,451,361,537.60/146,164
  6. Step 6: Final answer
    x = 71,504.35

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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.