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Finding the Fourth Proportional to 189,204.80, 283,807.20 and 177,540.80

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Solution

The fourth proportional to 189,204.80, 283,807.20 and 177,540.80 is: 266,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,204.80 : 283,807.20 = 177,540.80 : x
  2. Step 2: Convert to fraction form
    189,204.80/283,807.20 = 177,540.80/x
  3. Step 3: Cross multiply
    189,204.80x = 283,807.20 × 177,540.80
  4. Step 4: Simplify right side
    189,204.80x = 50,387,357,333.76
  5. Step 5: Solve for x
    x = 50,387,357,333.76/189,204.80
  6. Step 6: Final answer
    x = 266,311.20

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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.