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Finding the Fourth Proportional to 308,096.40, 461,914.20 and 168,013.20

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Solution

The fourth proportional to 308,096.40, 461,914.20 and 168,013.20 is: 251,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,096.40 : 461,914.20 = 168,013.20 : x
  2. Step 2: Convert to fraction form
    308,096.40/461,914.20 = 168,013.20/x
  3. Step 3: Cross multiply
    308,096.40x = 461,914.20 × 168,013.20
  4. Step 4: Simplify right side
    308,096.40x = 77,607,682,867.44
  5. Step 5: Solve for x
    x = 77,607,682,867.44/308,096.40
  6. Step 6: Final answer
    x = 251,894.16

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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.