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Finding the Fourth Proportional to 189,358.35, 283,878.48 and 82,661.13

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Solution

The fourth proportional to 189,358.35, 283,878.48 and 82,661.13 is: 123,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,358.35 : 283,878.48 = 82,661.13 : x
  2. Step 2: Convert to fraction form
    189,358.35/283,878.48 = 82,661.13/x
  3. Step 3: Cross multiply
    189,358.35x = 283,878.48 × 82,661.13
  4. Step 4: Simplify right side
    189,358.35x = 23,465,715,939.48
  5. Step 5: Solve for x
    x = 23,465,715,939.48/189,358.35
  6. Step 6: Final answer
    x = 123,922.27

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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.