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Finding the Fourth Proportional to 166,141, 229,194.74 and 108,755.02

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Solution

The fourth proportional to 166,141, 229,194.74 and 108,755.02 is: 150,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,141 : 229,194.74 = 108,755.02 : x
  2. Step 2: Convert to fraction form
    166,141/229,194.74 = 108,755.02/x
  3. Step 3: Cross multiply
    166,141x = 229,194.74 × 108,755.02
  4. Step 4: Simplify right side
    166,141x = 24,926,078,532.59
  5. Step 5: Solve for x
    x = 24,926,078,532.59/166,141
  6. Step 6: Final answer
    x = 150,029.66

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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.