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Finding the Fourth Proportional to 138,826.26, 208,237.56 and 33,646.14

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Solution

The fourth proportional to 138,826.26, 208,237.56 and 33,646.14 is: 50,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,826.26 : 208,237.56 = 33,646.14 : x
  2. Step 2: Convert to fraction form
    138,826.26/208,237.56 = 33,646.14/x
  3. Step 3: Cross multiply
    138,826.26x = 208,237.56 × 33,646.14
  4. Step 4: Simplify right side
    138,826.26x = 7,006,390,097.02
  5. Step 5: Solve for x
    x = 7,006,390,097.02/138,826.26
  6. Step 6: Final answer
    x = 50,468.77

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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.