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Finding the Fourth Proportional to 100,077.12, 138,198.29 and 64,329.39

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Solution

The fourth proportional to 100,077.12, 138,198.29 and 64,329.39 is: 88,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,077.12 : 138,198.29 = 64,329.39 : x
  2. Step 2: Convert to fraction form
    100,077.12/138,198.29 = 64,329.39/x
  3. Step 3: Cross multiply
    100,077.12x = 138,198.29 × 64,329.39
  4. Step 4: Simplify right side
    100,077.12x = 8,890,211,373.10
  5. Step 5: Solve for x
    x = 8,890,211,373.10/100,077.12
  6. Step 6: Final answer
    x = 88,833.61

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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.