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Finding the Fourth Proportional to 167,755.31, 231,426.05 and 99,733.69

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Solution

The fourth proportional to 167,755.31, 231,426.05 and 99,733.69 is: 137,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,755.31 : 231,426.05 = 99,733.69 : x
  2. Step 2: Convert to fraction form
    167,755.31/231,426.05 = 99,733.69/x
  3. Step 3: Cross multiply
    167,755.31x = 231,426.05 × 99,733.69
  4. Step 4: Simplify right side
    167,755.31x = 23,080,973,489.10
  5. Step 5: Solve for x
    x = 23,080,973,489.10/167,755.31
  6. Step 6: Final answer
    x = 137,587.14

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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.