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Finding the Fourth Proportional to 168,734.34, 232,912.02 and 97,142.88

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Solution

The fourth proportional to 168,734.34, 232,912.02 and 97,142.88 is: 134,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,734.34 : 232,912.02 = 97,142.88 : x
  2. Step 2: Convert to fraction form
    168,734.34/232,912.02 = 97,142.88/x
  3. Step 3: Cross multiply
    168,734.34x = 232,912.02 × 97,142.88
  4. Step 4: Simplify right side
    168,734.34x = 22,625,744,409.42
  5. Step 5: Solve for x
    x = 22,625,744,409.42/168,734.34
  6. Step 6: Final answer
    x = 134,090.93

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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.