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Finding the Fourth Proportional to 313,684.31, 470,261.90 and 136,057.52

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Solution

The fourth proportional to 313,684.31, 470,261.90 and 136,057.52 is: 203,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,684.31 : 470,261.90 = 136,057.52 : x
  2. Step 2: Convert to fraction form
    313,684.31/470,261.90 = 136,057.52/x
  3. Step 3: Cross multiply
    313,684.31x = 470,261.90 × 136,057.52
  4. Step 4: Simplify right side
    313,684.31x = 63,982,669,380.29
  5. Step 5: Solve for x
    x = 63,982,669,380.29/313,684.31
  6. Step 6: Final answer
    x = 203,971.53

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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.