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Finding the Fourth Proportional to 110,814.40, 166,221.60 and 51,765.40

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Solution

The fourth proportional to 110,814.40, 166,221.60 and 51,765.40 is: 77,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,814.40 : 166,221.60 = 51,765.40 : x
  2. Step 2: Convert to fraction form
    110,814.40/166,221.60 = 51,765.40/x
  3. Step 3: Cross multiply
    110,814.40x = 166,221.60 × 51,765.40
  4. Step 4: Simplify right side
    110,814.40x = 8,604,527,612.64
  5. Step 5: Solve for x
    x = 8,604,527,612.64/110,814.40
  6. Step 6: Final answer
    x = 77,648.10

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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.