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Finding the Fourth Proportional to 270,921.99, 406,029.96 and 150,974.16

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Solution

The fourth proportional to 270,921.99, 406,029.96 and 150,974.16 is: 226,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,921.99 : 406,029.96 = 150,974.16 : x
  2. Step 2: Convert to fraction form
    270,921.99/406,029.96 = 150,974.16/x
  3. Step 3: Cross multiply
    270,921.99x = 406,029.96 × 150,974.16
  4. Step 4: Simplify right side
    270,921.99x = 61,300,032,145.83
  5. Step 5: Solve for x
    x = 61,300,032,145.83/270,921.99
  6. Step 6: Final answer
    x = 226,264.51

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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.