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Finding the Fourth Proportional to 313,736.48, 470,340.36 and 136,109.84

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Solution

The fourth proportional to 313,736.48, 470,340.36 and 136,109.84 is: 204,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,736.48 : 470,340.36 = 136,109.84 : x
  2. Step 2: Convert to fraction form
    313,736.48/470,340.36 = 136,109.84/x
  3. Step 3: Cross multiply
    313,736.48x = 470,340.36 × 136,109.84
  4. Step 4: Simplify right side
    313,736.48x = 64,017,951,145.14
  5. Step 5: Solve for x
    x = 64,017,951,145.14/313,736.48
  6. Step 6: Final answer
    x = 204,050.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.