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Finding the Fourth Proportional to 162,806.20, 244,209.30 and 120,815.80

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Solution

The fourth proportional to 162,806.20, 244,209.30 and 120,815.80 is: 181,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,806.20 : 244,209.30 = 120,815.80 : x
  2. Step 2: Convert to fraction form
    162,806.20/244,209.30 = 120,815.80/x
  3. Step 3: Cross multiply
    162,806.20x = 244,209.30 × 120,815.80
  4. Step 4: Simplify right side
    162,806.20x = 29,504,341,946.94
  5. Step 5: Solve for x
    x = 29,504,341,946.94/162,806.20
  6. Step 6: Final answer
    x = 181,223.70

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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.