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Finding the Fourth Proportional to 270,736.02, 406,029.30 and 150,645.42

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Solution

The fourth proportional to 270,736.02, 406,029.30 and 150,645.42 is: 225,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,736.02 : 406,029.30 = 150,645.42 : x
  2. Step 2: Convert to fraction form
    270,736.02/406,029.30 = 150,645.42/x
  3. Step 3: Cross multiply
    270,736.02x = 406,029.30 × 150,645.42
  4. Step 4: Simplify right side
    270,736.02x = 61,166,454,430.81
  5. Step 5: Solve for x
    x = 61,166,454,430.81/270,736.02
  6. Step 6: Final answer
    x = 225,926.55

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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.