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Finding the Fourth Proportional to 188,395.80, 283,249.80 and 159,527.40

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Solution

The fourth proportional to 188,395.80, 283,249.80 and 159,527.40 is: 239,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,395.80 : 283,249.80 = 159,527.40 : x
  2. Step 2: Convert to fraction form
    188,395.80/283,249.80 = 159,527.40/x
  3. Step 3: Cross multiply
    188,395.80x = 283,249.80 × 159,527.40
  4. Step 4: Simplify right side
    188,395.80x = 45,186,104,144.52
  5. Step 5: Solve for x
    x = 45,186,104,144.52/188,395.80
  6. Step 6: Final answer
    x = 239,846.66

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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.