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Finding the Fourth Proportional to 206,873.20, 310,309.80 and 128,141.20

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Solution

The fourth proportional to 206,873.20, 310,309.80 and 128,141.20 is: 192,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,873.20 : 310,309.80 = 128,141.20 : x
  2. Step 2: Convert to fraction form
    206,873.20/310,309.80 = 128,141.20/x
  3. Step 3: Cross multiply
    206,873.20x = 310,309.80 × 128,141.20
  4. Step 4: Simplify right side
    206,873.20x = 39,763,470,143.76
  5. Step 5: Solve for x
    x = 39,763,470,143.76/206,873.20
  6. Step 6: Final answer
    x = 192,211.80

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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.