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Finding the Fourth Proportional to 113,863.80, 170,795.70 and 54,685.20

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Solution

The fourth proportional to 113,863.80, 170,795.70 and 54,685.20 is: 82,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,863.80 : 170,795.70 = 54,685.20 : x
  2. Step 2: Convert to fraction form
    113,863.80/170,795.70 = 54,685.20/x
  3. Step 3: Cross multiply
    113,863.80x = 170,795.70 × 54,685.20
  4. Step 4: Simplify right side
    113,863.80x = 9,339,997,013.64
  5. Step 5: Solve for x
    x = 9,339,997,013.64/113,863.80
  6. Step 6: Final answer
    x = 82,027.80

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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.