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Finding the Fourth Proportional to 138,818.21, 208,139.22 and 117,765.50

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Solution

The fourth proportional to 138,818.21, 208,139.22 and 117,765.50 is: 176,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,818.21 : 208,139.22 = 117,765.50 : x
  2. Step 2: Convert to fraction form
    138,818.21/208,139.22 = 117,765.50/x
  3. Step 3: Cross multiply
    138,818.21x = 208,139.22 × 117,765.50
  4. Step 4: Simplify right side
    138,818.21x = 24,511,618,272.21
  5. Step 5: Solve for x
    x = 24,511,618,272.21/138,818.21
  6. Step 6: Final answer
    x = 176,573.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.