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Finding the Fourth Proportional to 129,858.20, 194,633.70 and 54,978.20

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Solution

The fourth proportional to 129,858.20, 194,633.70 and 54,978.20 is: 82,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,858.20 : 194,633.70 = 54,978.20 : x
  2. Step 2: Convert to fraction form
    129,858.20/194,633.70 = 54,978.20/x
  3. Step 3: Cross multiply
    129,858.20x = 194,633.70 × 54,978.20
  4. Step 4: Simplify right side
    129,858.20x = 10,700,610,485.34
  5. Step 5: Solve for x
    x = 10,700,610,485.34/129,858.20
  6. Step 6: Final answer
    x = 82,402.27

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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.