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Finding the Fourth Proportional to 227,222.40, 340,830.40 and 102,563.20

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Solution

The fourth proportional to 227,222.40, 340,830.40 and 102,563.20 is: 153,843.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,222.40 : 340,830.40 = 102,563.20 : x
  2. Step 2: Convert to fraction form
    227,222.40/340,830.40 = 102,563.20/x
  3. Step 3: Cross multiply
    227,222.40x = 340,830.40 × 102,563.20
  4. Step 4: Simplify right side
    227,222.40x = 34,956,656,481.28
  5. Step 5: Solve for x
    x = 34,956,656,481.28/227,222.40
  6. Step 6: Final answer
    x = 153,843.36

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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.