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Finding the Fourth Proportional to 189,053.48, 283,622.28 and 82,454.68

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Solution

The fourth proportional to 189,053.48, 283,622.28 and 82,454.68 is: 123,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,053.48 : 283,622.28 = 82,454.68 : x
  2. Step 2: Convert to fraction form
    189,053.48/283,622.28 = 82,454.68/x
  3. Step 3: Cross multiply
    189,053.48x = 283,622.28 × 82,454.68
  4. Step 4: Simplify right side
    189,053.48x = 23,385,984,383.59
  5. Step 5: Solve for x
    x = 23,385,984,383.59/189,053.48
  6. Step 6: Final answer
    x = 123,700.36

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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.