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Finding the Fourth Proportional to 110,777.60, 166,166.40 and 40,647.80

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Solution

The fourth proportional to 110,777.60, 166,166.40 and 40,647.80 is: 60,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,777.60 : 166,166.40 = 40,647.80 : x
  2. Step 2: Convert to fraction form
    110,777.60/166,166.40 = 40,647.80/x
  3. Step 3: Cross multiply
    110,777.60x = 166,166.40 × 40,647.80
  4. Step 4: Simplify right side
    110,777.60x = 6,754,298,593.92
  5. Step 5: Solve for x
    x = 6,754,298,593.92/110,777.60
  6. Step 6: Final answer
    x = 60,971.70

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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.