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Finding the Fourth Proportional to 113,854.75, 170,818.56 and 54,694.58

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Solution

The fourth proportional to 113,854.75, 170,818.56 and 54,694.58 is: 82,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,854.75 : 170,818.56 = 54,694.58 : x
  2. Step 2: Convert to fraction form
    113,854.75/170,818.56 = 54,694.58/x
  3. Step 3: Cross multiply
    113,854.75x = 170,818.56 × 54,694.58
  4. Step 4: Simplify right side
    113,854.75x = 9,342,848,541.31
  5. Step 5: Solve for x
    x = 9,342,848,541.31/113,854.75
  6. Step 6: Final answer
    x = 82,059.37

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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.