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Finding the Fourth Proportional to 313,683.92, 470,261.34 and 136,057.14

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Solution

The fourth proportional to 313,683.92, 470,261.34 and 136,057.14 is: 203,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,683.92 : 470,261.34 = 136,057.14 : x
  2. Step 2: Convert to fraction form
    313,683.92/470,261.34 = 136,057.14/x
  3. Step 3: Cross multiply
    313,683.92x = 470,261.34 × 136,057.14
  4. Step 4: Simplify right side
    313,683.92x = 63,982,412,972.97
  5. Step 5: Solve for x
    x = 63,982,412,972.97/313,683.92
  6. Step 6: Final answer
    x = 203,970.97

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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.