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Finding the Fourth Proportional to 652,107.92, 978,096.32 and 178,840.88

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Solution

The fourth proportional to 652,107.92, 978,096.32 and 178,840.88 is: 268,243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,107.92 : 978,096.32 = 178,840.88 : x
  2. Step 2: Convert to fraction form
    652,107.92/978,096.32 = 178,840.88/x
  3. Step 3: Cross multiply
    652,107.92x = 978,096.32 × 178,840.88
  4. Step 4: Simplify right side
    652,107.92x = 174,923,606,593.56
  5. Step 5: Solve for x
    x = 174,923,606,593.56/652,107.92
  6. Step 6: Final answer
    x = 268,243.34

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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.