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Finding the Fourth Proportional to 313,843.56, 470,499.84 and 136,217.04

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Solution

The fourth proportional to 313,843.56, 470,499.84 and 136,217.04 is: 204,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,843.56 : 470,499.84 = 136,217.04 : x
  2. Step 2: Convert to fraction form
    313,843.56/470,499.84 = 136,217.04/x
  3. Step 3: Cross multiply
    313,843.56x = 470,499.84 × 136,217.04
  4. Step 4: Simplify right side
    313,843.56x = 64,090,095,525.27
  5. Step 5: Solve for x
    x = 64,090,095,525.27/313,843.56
  6. Step 6: Final answer
    x = 204,210.33

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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.