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Finding the Fourth Proportional to 308,980.97, 463,097.18 and 131,114.33

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Solution

The fourth proportional to 308,980.97, 463,097.18 and 131,114.33 is: 196,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,980.97 : 463,097.18 = 131,114.33 : x
  2. Step 2: Convert to fraction form
    308,980.97/463,097.18 = 131,114.33/x
  3. Step 3: Cross multiply
    308,980.97x = 463,097.18 × 131,114.33
  4. Step 4: Simplify right side
    308,980.97x = 60,718,673,509.53
  5. Step 5: Solve for x
    x = 60,718,673,509.53/308,980.97
  6. Step 6: Final answer
    x = 196,512.67

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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.