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Finding the Fourth Proportional to 138,943.50, 208,415.25 and 33,762.78

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Solution

The fourth proportional to 138,943.50, 208,415.25 and 33,762.78 is: 50,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,943.50 : 208,415.25 = 33,762.78 : x
  2. Step 2: Convert to fraction form
    138,943.50/208,415.25 = 33,762.78/x
  3. Step 3: Cross multiply
    138,943.50x = 208,415.25 × 33,762.78
  4. Step 4: Simplify right side
    138,943.50x = 7,036,678,234.40
  5. Step 5: Solve for x
    x = 7,036,678,234.40/138,943.50
  6. Step 6: Final answer
    x = 50,644.17

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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.