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Finding the Fourth Proportional to 135,821.34, 203,770.89 and 65,740.14

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Solution

The fourth proportional to 135,821.34, 203,770.89 and 65,740.14 is: 98,629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,821.34 : 203,770.89 = 65,740.14 : x
  2. Step 2: Convert to fraction form
    135,821.34/203,770.89 = 65,740.14/x
  3. Step 3: Cross multiply
    135,821.34x = 203,770.89 × 65,740.14
  4. Step 4: Simplify right side
    135,821.34x = 13,395,926,836.52
  5. Step 5: Solve for x
    x = 13,395,926,836.52/135,821.34
  6. Step 6: Final answer
    x = 98,629.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.