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Finding the Fourth Proportional to 120,493.26, 166,132.89 and 97,767.90

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Solution

The fourth proportional to 120,493.26, 166,132.89 and 97,767.90 is: 134,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,493.26 : 166,132.89 = 97,767.90 : x
  2. Step 2: Convert to fraction form
    120,493.26/166,132.89 = 97,767.90/x
  3. Step 3: Cross multiply
    120,493.26x = 166,132.89 × 97,767.90
  4. Step 4: Simplify right side
    120,493.26x = 16,242,463,776.23
  5. Step 5: Solve for x
    x = 16,242,463,776.23/120,493.26
  6. Step 6: Final answer
    x = 134,799.77

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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.