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Finding the Fourth Proportional to 100,273.12, 138,376.78 and 54,953.95

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Solution

The fourth proportional to 100,273.12, 138,376.78 and 54,953.95 is: 75,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,273.12 : 138,376.78 = 54,953.95 : x
  2. Step 2: Convert to fraction form
    100,273.12/138,376.78 = 54,953.95/x
  3. Step 3: Cross multiply
    100,273.12x = 138,376.78 × 54,953.95
  4. Step 4: Simplify right side
    100,273.12x = 7,604,350,649.28
  5. Step 5: Solve for x
    x = 7,604,350,649.28/100,273.12
  6. Step 6: Final answer
    x = 75,836.38

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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.