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Finding the Fourth Proportional to 100,357.02, 138,378.51 and 82,149.84

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Solution

The fourth proportional to 100,357.02, 138,378.51 and 82,149.84 is: 113,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,357.02 : 138,378.51 = 82,149.84 : x
  2. Step 2: Convert to fraction form
    100,357.02/138,378.51 = 82,149.84/x
  3. Step 3: Cross multiply
    100,357.02x = 138,378.51 × 82,149.84
  4. Step 4: Simplify right side
    100,357.02x = 11,367,772,455.94
  5. Step 5: Solve for x
    x = 11,367,772,455.94/100,357.02
  6. Step 6: Final answer
    x = 113,273.32

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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.