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Finding the Fourth Proportional to 138,941.91, 208,412.55 and 33,760.98

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Solution

The fourth proportional to 138,941.91, 208,412.55 and 33,760.98 is: 50,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,941.91 : 208,412.55 = 33,760.98 : x
  2. Step 2: Convert to fraction form
    138,941.91/208,412.55 = 33,760.98/x
  3. Step 3: Cross multiply
    138,941.91x = 208,412.55 × 33,760.98
  4. Step 4: Simplify right side
    138,941.91x = 7,036,211,932.30
  5. Step 5: Solve for x
    x = 7,036,211,932.30/138,941.91
  6. Step 6: Final answer
    x = 50,641.39

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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.