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Finding the Fourth Proportional to 116,980.56, 175,542.84 and 54,657.36

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Solution

The fourth proportional to 116,980.56, 175,542.84 and 54,657.36 is: 82,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,980.56 : 175,542.84 = 54,657.36 : x
  2. Step 2: Convert to fraction form
    116,980.56/175,542.84 = 54,657.36/x
  3. Step 3: Cross multiply
    116,980.56x = 175,542.84 × 54,657.36
  4. Step 4: Simplify right side
    116,980.56x = 9,594,708,201.30
  5. Step 5: Solve for x
    x = 9,594,708,201.30/116,980.56
  6. Step 6: Final answer
    x = 82,019.68

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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.