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Finding the Fourth Proportional to 110,977.80, 166,466.70 and 64,206.60

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Solution

The fourth proportional to 110,977.80, 166,466.70 and 64,206.60 is: 96,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,977.80 : 166,466.70 = 64,206.60 : x
  2. Step 2: Convert to fraction form
    110,977.80/166,466.70 = 64,206.60/x
  3. Step 3: Cross multiply
    110,977.80x = 166,466.70 × 64,206.60
  4. Step 4: Simplify right side
    110,977.80x = 10,688,260,820.22
  5. Step 5: Solve for x
    x = 10,688,260,820.22/110,977.80
  6. Step 6: Final answer
    x = 96,309.90

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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.