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Finding the Fourth Proportional to 110,023.80, 165,035.70 and 76,846.20

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Solution

The fourth proportional to 110,023.80, 165,035.70 and 76,846.20 is: 115,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,023.80 : 165,035.70 = 76,846.20 : x
  2. Step 2: Convert to fraction form
    110,023.80/165,035.70 = 76,846.20/x
  3. Step 3: Cross multiply
    110,023.80x = 165,035.70 × 76,846.20
  4. Step 4: Simplify right side
    110,023.80x = 12,682,366,409.34
  5. Step 5: Solve for x
    x = 12,682,366,409.34/110,023.80
  6. Step 6: Final answer
    x = 115,269.30

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1.5x scale

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.