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Finding the Fourth Proportional to 138,836.23, 208,254.31 and 33,655.20

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Solution

The fourth proportional to 138,836.23, 208,254.31 and 33,655.20 is: 50,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,836.23 : 208,254.31 = 33,655.20 : x
  2. Step 2: Convert to fraction form
    138,836.23/208,254.31 = 33,655.20/x
  3. Step 3: Cross multiply
    138,836.23x = 208,254.31 × 33,655.20
  4. Step 4: Simplify right side
    138,836.23x = 7,008,839,588.82
  5. Step 5: Solve for x
    x = 7,008,839,588.82/138,836.23
  6. Step 6: Final answer
    x = 50,482.79

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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.