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Finding the Fourth Proportional to 313,834.50, 470,486.40 and 136,207.98

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Solution

The fourth proportional to 313,834.50, 470,486.40 and 136,207.98 is: 204,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,834.50 : 470,486.40 = 136,207.98 : x
  2. Step 2: Convert to fraction form
    313,834.50/470,486.40 = 136,207.98/x
  3. Step 3: Cross multiply
    313,834.50x = 470,486.40 × 136,207.98
  4. Step 4: Simplify right side
    313,834.50x = 64,084,002,161.47
  5. Step 5: Solve for x
    x = 64,084,002,161.47/313,834.50
  6. Step 6: Final answer
    x = 204,196.80

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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.