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Finding the Fourth Proportional to 132,076.56, 198,164.16 and 53,213.16

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Solution

The fourth proportional to 132,076.56, 198,164.16 and 53,213.16 is: 79,839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,076.56 : 198,164.16 = 53,213.16 : x
  2. Step 2: Convert to fraction form
    132,076.56/198,164.16 = 53,213.16/x
  3. Step 3: Cross multiply
    132,076.56x = 198,164.16 × 53,213.16
  4. Step 4: Simplify right side
    132,076.56x = 10,544,941,152.35
  5. Step 5: Solve for x
    x = 10,544,941,152.35/132,076.56
  6. Step 6: Final answer
    x = 79,839.61

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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.