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Finding the Fourth Proportional to 111,996.60, 167,822.10 and 97,135.80

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Solution

The fourth proportional to 111,996.60, 167,822.10 and 97,135.80 is: 145,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,996.60 : 167,822.10 = 97,135.80 : x
  2. Step 2: Convert to fraction form
    111,996.60/167,822.10 = 97,135.80/x
  3. Step 3: Cross multiply
    111,996.60x = 167,822.10 × 97,135.80
  4. Step 4: Simplify right side
    111,996.60x = 16,301,533,941.18
  5. Step 5: Solve for x
    x = 16,301,533,941.18/111,996.60
  6. Step 6: Final answer
    x = 145,553.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.