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Finding the Fourth Proportional to 224,843.60, 337,323.72 and 119,576

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Solution

The fourth proportional to 224,843.60, 337,323.72 and 119,576 is: 179,395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,843.60 : 337,323.72 = 119,576 : x
  2. Step 2: Convert to fraction form
    224,843.60/337,323.72 = 119,576/x
  3. Step 3: Cross multiply
    224,843.60x = 337,323.72 × 119,576
  4. Step 4: Simplify right side
    224,843.60x = 40,335,821,142.72
  5. Step 5: Solve for x
    x = 40,335,821,142.72/224,843.60
  6. Step 6: Final answer
    x = 179,395.02

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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.