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Finding the Fourth Proportional to 116,847.98, 175,201.84 and 53,588.86

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Solution

The fourth proportional to 116,847.98, 175,201.84 and 53,588.86 is: 80,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,847.98 : 175,201.84 = 53,588.86 : x
  2. Step 2: Convert to fraction form
    116,847.98/175,201.84 = 53,588.86/x
  3. Step 3: Cross multiply
    116,847.98x = 175,201.84 × 53,588.86
  4. Step 4: Simplify right side
    116,847.98x = 9,388,866,203.05
  5. Step 5: Solve for x
    x = 9,388,866,203.05/116,847.98
  6. Step 6: Final answer
    x = 80,351.12

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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.