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Finding the Fourth Proportional to 192,425.20, 289,026.60 and 185,815.60

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Solution

The fourth proportional to 192,425.20, 289,026.60 and 185,815.60 is: 279,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,425.20 : 289,026.60 = 185,815.60 : x
  2. Step 2: Convert to fraction form
    192,425.20/289,026.60 = 185,815.60/x
  3. Step 3: Cross multiply
    192,425.20x = 289,026.60 × 185,815.60
  4. Step 4: Simplify right side
    192,425.20x = 53,705,651,094.96
  5. Step 5: Solve for x
    x = 53,705,651,094.96/192,425.20
  6. Step 6: Final answer
    x = 279,098.85

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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.