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Finding the Fourth Proportional to 270,834.60, 406,064.64 and 118,958.39

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Solution

The fourth proportional to 270,834.60, 406,064.64 and 118,958.39 is: 178,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,834.60 : 406,064.64 = 118,958.39 : x
  2. Step 2: Convert to fraction form
    270,834.60/406,064.64 = 118,958.39/x
  3. Step 3: Cross multiply
    270,834.60x = 406,064.64 × 118,958.39
  4. Step 4: Simplify right side
    270,834.60x = 48,304,795,748.84
  5. Step 5: Solve for x
    x = 48,304,795,748.84/270,834.60
  6. Step 6: Final answer
    x = 178,355.33

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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.