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Finding the Fourth Proportional to 106,808.40, 160,200.45 and 27,930.60

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Solution

The fourth proportional to 106,808.40, 160,200.45 and 27,930.60 is: 41,892.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,808.40 : 160,200.45 = 27,930.60 : x
  2. Step 2: Convert to fraction form
    106,808.40/160,200.45 = 27,930.60/x
  3. Step 3: Cross multiply
    106,808.40x = 160,200.45 × 27,930.60
  4. Step 4: Simplify right side
    106,808.40x = 4,474,494,688.77
  5. Step 5: Solve for x
    x = 4,474,494,688.77/106,808.40
  6. Step 6: Final answer
    x = 41,892.72

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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.