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Finding the Fourth Proportional to 189,310.80, 283,966.20 and 177,763.44

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Solution

The fourth proportional to 189,310.80, 283,966.20 and 177,763.44 is: 266,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,310.80 : 283,966.20 = 177,763.44 : x
  2. Step 2: Convert to fraction form
    189,310.80/283,966.20 = 177,763.44/x
  3. Step 3: Cross multiply
    189,310.80x = 283,966.20 × 177,763.44
  4. Step 4: Simplify right side
    189,310.80x = 50,478,808,555.73
  5. Step 5: Solve for x
    x = 50,478,808,555.73/189,310.80
  6. Step 6: Final answer
    x = 266,645.16

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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.