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Finding the Fourth Proportional to 146,644.20, 219,310.20 and 123,024.60

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Solution

The fourth proportional to 146,644.20, 219,310.20 and 123,024.60 is: 183,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,644.20 : 219,310.20 = 123,024.60 : x
  2. Step 2: Convert to fraction form
    146,644.20/219,310.20 = 123,024.60/x
  3. Step 3: Cross multiply
    146,644.20x = 219,310.20 × 123,024.60
  4. Step 4: Simplify right side
    146,644.20x = 26,980,549,630.92
  5. Step 5: Solve for x
    x = 26,980,549,630.92/146,644.20
  6. Step 6: Final answer
    x = 183,986.48

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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.