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Finding the Fourth Proportional to 110,811.70, 166,271.55 and 51,616.90

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Solution

The fourth proportional to 110,811.70, 166,271.55 and 51,616.90 is: 77,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,811.70 : 166,271.55 = 51,616.90 : x
  2. Step 2: Convert to fraction form
    110,811.70/166,271.55 = 51,616.90/x
  3. Step 3: Cross multiply
    110,811.70x = 166,271.55 × 51,616.90
  4. Step 4: Simplify right side
    110,811.70x = 8,582,421,969.20
  5. Step 5: Solve for x
    x = 8,582,421,969.20/110,811.70
  6. Step 6: Final answer
    x = 77,450.50

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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.