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Finding the Fourth Proportional to 168,077.17, 231,957.96 and 102,693.98

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Solution

The fourth proportional to 168,077.17, 231,957.96 and 102,693.98 is: 141,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,077.17 : 231,957.96 = 102,693.98 : x
  2. Step 2: Convert to fraction form
    168,077.17/231,957.96 = 102,693.98/x
  3. Step 3: Cross multiply
    168,077.17x = 231,957.96 × 102,693.98
  4. Step 4: Simplify right side
    168,077.17x = 23,820,686,105.08
  5. Step 5: Solve for x
    x = 23,820,686,105.08/168,077.17
  6. Step 6: Final answer
    x = 141,724.70

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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.