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Finding the Fourth Proportional to 100,072, 138,099.90 and 54,750.52

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Solution

The fourth proportional to 100,072, 138,099.90 and 54,750.52 is: 75,556.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,072 : 138,099.90 = 54,750.52 : x
  2. Step 2: Convert to fraction form
    100,072/138,099.90 = 54,750.52/x
  3. Step 3: Cross multiply
    100,072x = 138,099.90 × 54,750.52
  4. Step 4: Simplify right side
    100,072x = 7,561,041,336.95
  5. Step 5: Solve for x
    x = 7,561,041,336.95/100,072
  6. Step 6: Final answer
    x = 75,556.01

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