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Finding the Fourth Proportional to 100,273.80, 138,360.30 and 57,233.64

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Solution

The fourth proportional to 100,273.80, 138,360.30 and 57,233.64 is: 78,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,273.80 : 138,360.30 = 57,233.64 : x
  2. Step 2: Convert to fraction form
    100,273.80/138,360.30 = 57,233.64/x
  3. Step 3: Cross multiply
    100,273.80x = 138,360.30 × 57,233.64
  4. Step 4: Simplify right side
    100,273.80x = 7,918,863,448.38
  5. Step 5: Solve for x
    x = 7,918,863,448.38/100,273.80
  6. Step 6: Final answer
    x = 78,972.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.