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Finding the Fourth Proportional to 270,760.53, 406,205.60 and 83,772.03

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Solution

The fourth proportional to 270,760.53, 406,205.60 and 83,772.03 is: 125,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,760.53 : 406,205.60 = 83,772.03 : x
  2. Step 2: Convert to fraction form
    270,760.53/406,205.60 = 83,772.03/x
  3. Step 3: Cross multiply
    270,760.53x = 406,205.60 × 83,772.03
  4. Step 4: Simplify right side
    270,760.53x = 34,028,667,290.51
  5. Step 5: Solve for x
    x = 34,028,667,290.51/270,760.53
  6. Step 6: Final answer
    x = 125,678.09

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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.