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Finding the Fourth Proportional to 78,164.80, 117,245.56 and 19,000.78

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Solution

The fourth proportional to 78,164.80, 117,245.56 and 19,000.78 is: 28,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,164.80 : 117,245.56 = 19,000.78 : x
  2. Step 2: Convert to fraction form
    78,164.80/117,245.56 = 19,000.78/x
  3. Step 3: Cross multiply
    78,164.80x = 117,245.56 × 19,000.78
  4. Step 4: Simplify right side
    78,164.80x = 2,227,757,091.54
  5. Step 5: Solve for x
    x = 2,227,757,091.54/78,164.80
  6. Step 6: Final answer
    x = 28,500.77

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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.