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Finding the Fourth Proportional to 168,808.96, 232,978.44 and 97,192

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Solution

The fourth proportional to 168,808.96, 232,978.44 and 97,192 is: 134,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,808.96 : 232,978.44 = 97,192 : x
  2. Step 2: Convert to fraction form
    168,808.96/232,978.44 = 97,192/x
  3. Step 3: Cross multiply
    168,808.96x = 232,978.44 × 97,192
  4. Step 4: Simplify right side
    168,808.96x = 22,643,640,540.48
  5. Step 5: Solve for x
    x = 22,643,640,540.48/168,808.96
  6. Step 6: Final answer
    x = 134,137.67

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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.