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Finding the Fourth Proportional to 132,225, 182,425.44 and 84,505.88

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Solution

The fourth proportional to 132,225, 182,425.44 and 84,505.88 is: 116,589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,225 : 182,425.44 = 84,505.88 : x
  2. Step 2: Convert to fraction form
    132,225/182,425.44 = 84,505.88/x
  3. Step 3: Cross multiply
    132,225x = 182,425.44 × 84,505.88
  4. Step 4: Simplify right side
    132,225x = 15,416,021,006.93
  5. Step 5: Solve for x
    x = 15,416,021,006.93/132,225
  6. Step 6: Final answer
    x = 116,589.31

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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.