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Finding the Fourth Proportional to 138,708.80, 208,063.26 and 33,527.76

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Solution

The fourth proportional to 138,708.80, 208,063.26 and 33,527.76 is: 50,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,708.80 : 208,063.26 = 33,527.76 : x
  2. Step 2: Convert to fraction form
    138,708.80/208,063.26 = 33,527.76/x
  3. Step 3: Cross multiply
    138,708.80x = 208,063.26 × 33,527.76
  4. Step 4: Simplify right side
    138,708.80x = 6,975,895,046.10
  5. Step 5: Solve for x
    x = 6,975,895,046.10/138,708.80
  6. Step 6: Final answer
    x = 50,291.65

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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.