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Finding the Fourth Proportional to 270,914.80, 406,391.68 and 93,419.25

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Solution

The fourth proportional to 270,914.80, 406,391.68 and 93,419.25 is: 140,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,914.80 : 406,391.68 = 93,419.25 : x
  2. Step 2: Convert to fraction form
    270,914.80/406,391.68 = 93,419.25/x
  3. Step 3: Cross multiply
    270,914.80x = 406,391.68 × 93,419.25
  4. Step 4: Simplify right side
    270,914.80x = 37,964,805,951.84
  5. Step 5: Solve for x
    x = 37,964,805,951.84/270,914.80
  6. Step 6: Final answer
    x = 140,135.59

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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.