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Finding the Fourth Proportional to 168,096.47, 252,163.16 and 83,877.83

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Solution

The fourth proportional to 168,096.47, 252,163.16 and 83,877.83 is: 125,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,096.47 : 252,163.16 = 83,877.83 : x
  2. Step 2: Convert to fraction form
    168,096.47/252,163.16 = 83,877.83/x
  3. Step 3: Cross multiply
    168,096.47x = 252,163.16 × 83,877.83
  4. Step 4: Simplify right side
    168,096.47x = 21,150,898,666.74
  5. Step 5: Solve for x
    x = 21,150,898,666.74/168,096.47
  6. Step 6: Final answer
    x = 125,825.95

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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.