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Finding the Fourth Proportional to 76,142.80, 114,214.20 and 20,738.80

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Solution

The fourth proportional to 76,142.80, 114,214.20 and 20,738.80 is: 31,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,142.80 : 114,214.20 = 20,738.80 : x
  2. Step 2: Convert to fraction form
    76,142.80/114,214.20 = 20,738.80/x
  3. Step 3: Cross multiply
    76,142.80x = 114,214.20 × 20,738.80
  4. Step 4: Simplify right side
    76,142.80x = 2,368,665,450.96
  5. Step 5: Solve for x
    x = 2,368,665,450.96/76,142.80
  6. Step 6: Final answer
    x = 31,108.20

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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.