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Finding the Fourth Proportional to 110,467.70, 165,701.55 and 51,418.70

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Solution

The fourth proportional to 110,467.70, 165,701.55 and 51,418.70 is: 77,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,467.70 : 165,701.55 = 51,418.70 : x
  2. Step 2: Convert to fraction form
    110,467.70/165,701.55 = 51,418.70/x
  3. Step 3: Cross multiply
    110,467.70x = 165,701.55 × 51,418.70
  4. Step 4: Simplify right side
    110,467.70x = 8,520,158,288.99
  5. Step 5: Solve for x
    x = 8,520,158,288.99/110,467.70
  6. Step 6: Final answer
    x = 77,128.05

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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.