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Finding the Fourth Proportional to 138,770.08, 208,154.16 and 33,589.60

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Solution

The fourth proportional to 138,770.08, 208,154.16 and 33,589.60 is: 50,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,770.08 : 208,154.16 = 33,589.60 : x
  2. Step 2: Convert to fraction form
    138,770.08/208,154.16 = 33,589.60/x
  3. Step 3: Cross multiply
    138,770.08x = 208,154.16 × 33,589.60
  4. Step 4: Simplify right side
    138,770.08x = 6,991,814,972.74
  5. Step 5: Solve for x
    x = 6,991,814,972.74/138,770.08
  6. Step 6: Final answer
    x = 50,384.17

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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.