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Finding the Fourth Proportional to 106,808.20, 160,212.30 and 27,930.40

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Solution

The fourth proportional to 106,808.20, 160,212.30 and 27,930.40 is: 41,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,808.20 : 160,212.30 = 27,930.40 : x
  2. Step 2: Convert to fraction form
    106,808.20/160,212.30 = 27,930.40/x
  3. Step 3: Cross multiply
    106,808.20x = 160,212.30 × 27,930.40
  4. Step 4: Simplify right side
    106,808.20x = 4,474,793,623.92
  5. Step 5: Solve for x
    x = 4,474,793,623.92/106,808.20
  6. Step 6: Final answer
    x = 41,895.60

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1.5x scale

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.