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Finding the Fourth Proportional to 308,081.14, 462,160.67 and 105,716.67

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Solution

The fourth proportional to 308,081.14, 462,160.67 and 105,716.67 is: 158,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,081.14 : 462,160.67 = 105,716.67 : x
  2. Step 2: Convert to fraction form
    308,081.14/462,160.67 = 105,716.67/x
  3. Step 3: Cross multiply
    308,081.14x = 462,160.67 × 105,716.67
  4. Step 4: Simplify right side
    308,081.14x = 48,858,084,197.98
  5. Step 5: Solve for x
    x = 48,858,084,197.98/308,081.14
  6. Step 6: Final answer
    x = 158,588.36

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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.