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Finding the Fourth Proportional to 195,563.25, 293,468.28 and 83,243.30

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Solution

The fourth proportional to 195,563.25, 293,468.28 and 83,243.30 is: 124,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,563.25 : 293,468.28 = 83,243.30 : x
  2. Step 2: Convert to fraction form
    195,563.25/293,468.28 = 83,243.30/x
  3. Step 3: Cross multiply
    195,563.25x = 293,468.28 × 83,243.30
  4. Step 4: Simplify right side
    195,563.25x = 24,429,266,936.86
  5. Step 5: Solve for x
    x = 24,429,266,936.86/195,563.25
  6. Step 6: Final answer
    x = 124,917.47

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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.