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Finding the Fourth Proportional to 97,997.60, 146,996.40 and 84,000.80

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Solution

The fourth proportional to 97,997.60, 146,996.40 and 84,000.80 is: 126,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,997.60 : 146,996.40 = 84,000.80 : x
  2. Step 2: Convert to fraction form
    97,997.60/146,996.40 = 84,000.80/x
  3. Step 3: Cross multiply
    97,997.60x = 146,996.40 × 84,000.80
  4. Step 4: Simplify right side
    97,997.60x = 12,347,815,197.12
  5. Step 5: Solve for x
    x = 12,347,815,197.12/97,997.60
  6. Step 6: Final answer
    x = 126,001.20

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1.5x scale

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.