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Finding the Fourth Proportional to 308,983.14, 463,358.07 and 142,654.50

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Solution

The fourth proportional to 308,983.14, 463,358.07 and 142,654.50 is: 213,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,983.14 : 463,358.07 = 142,654.50 : x
  2. Step 2: Convert to fraction form
    308,983.14/463,358.07 = 142,654.50/x
  3. Step 3: Cross multiply
    308,983.14x = 463,358.07 × 142,654.50
  4. Step 4: Simplify right side
    308,983.14x = 66,100,113,796.82
  5. Step 5: Solve for x
    x = 66,100,113,796.82/308,983.14
  6. Step 6: Final answer
    x = 213,927.90

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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.