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Finding the Fourth Proportional to 227,222.46, 340,842.36 and 85,052.78

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Solution

The fourth proportional to 227,222.46, 340,842.36 and 85,052.78 is: 127,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,222.46 : 340,842.36 = 85,052.78 : x
  2. Step 2: Convert to fraction form
    227,222.46/340,842.36 = 85,052.78/x
  3. Step 3: Cross multiply
    227,222.46x = 340,842.36 × 85,052.78
  4. Step 4: Simplify right side
    227,222.46x = 28,989,590,152.66
  5. Step 5: Solve for x
    x = 28,989,590,152.66/227,222.46
  6. Step 6: Final answer
    x = 127,582.41

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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.