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Finding the Fourth Proportional to 167,204.27, 230,821.27 and 105,981.05

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Solution

The fourth proportional to 167,204.27, 230,821.27 and 105,981.05 is: 146,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,204.27 : 230,821.27 = 105,981.05 : x
  2. Step 2: Convert to fraction form
    167,204.27/230,821.27 = 105,981.05/x
  3. Step 3: Cross multiply
    167,204.27x = 230,821.27 × 105,981.05
  4. Step 4: Simplify right side
    167,204.27x = 24,462,679,137.87
  5. Step 5: Solve for x
    x = 24,462,679,137.87/167,204.27
  6. Step 6: Final answer
    x = 146,304.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.