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Finding the Fourth Proportional to 138,855.30, 208,239.84 and 50,097.24

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Solution

The fourth proportional to 138,855.30, 208,239.84 and 50,097.24 is: 75,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,855.30 : 208,239.84 = 50,097.24 : x
  2. Step 2: Convert to fraction form
    138,855.30/208,239.84 = 50,097.24/x
  3. Step 3: Cross multiply
    138,855.30x = 208,239.84 × 50,097.24
  4. Step 4: Simplify right side
    138,855.30x = 10,432,241,242.04
  5. Step 5: Solve for x
    x = 10,432,241,242.04/138,855.30
  6. Step 6: Final answer
    x = 75,130.31

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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.