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Finding the Fourth Proportional to 313,665.78, 470,234.18 and 136,039.01

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Solution

The fourth proportional to 313,665.78, 470,234.18 and 136,039.01 is: 203,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,665.78 : 470,234.18 = 136,039.01 : x
  2. Step 2: Convert to fraction form
    313,665.78/470,234.18 = 136,039.01/x
  3. Step 3: Cross multiply
    313,665.78x = 470,234.18 × 136,039.01
  4. Step 4: Simplify right side
    313,665.78x = 63,970,192,315.36
  5. Step 5: Solve for x
    x = 63,970,192,315.36/313,665.78
  6. Step 6: Final answer
    x = 203,943.80

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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.