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Finding the Fourth Proportional to 167,755.81, 231,426.74 and 99,734.19

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Solution

The fourth proportional to 167,755.81, 231,426.74 and 99,734.19 is: 137,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,755.81 : 231,426.74 = 99,734.19 : x
  2. Step 2: Convert to fraction form
    167,755.81/231,426.74 = 99,734.19/x
  3. Step 3: Cross multiply
    167,755.81x = 231,426.74 × 99,734.19
  4. Step 4: Simplify right side
    167,755.81x = 23,081,158,458.24
  5. Step 5: Solve for x
    x = 23,081,158,458.24/167,755.81
  6. Step 6: Final answer
    x = 137,587.83

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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.