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Finding the Fourth Proportional to 96,219.80, 143,940.90 and 83,216.60

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Solution

The fourth proportional to 96,219.80, 143,940.90 and 83,216.60 is: 124,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,219.80 : 143,940.90 = 83,216.60 : x
  2. Step 2: Convert to fraction form
    96,219.80/143,940.90 = 83,216.60/x
  3. Step 3: Cross multiply
    96,219.80x = 143,940.90 × 83,216.60
  4. Step 4: Simplify right side
    96,219.80x = 11,978,272,298.94
  5. Step 5: Solve for x
    x = 11,978,272,298.94/96,219.80
  6. Step 6: Final answer
    x = 124,488.64

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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.