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Finding the Fourth Proportional to 225,784.42, 338,012.26 and 150,718.38

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Solution

The fourth proportional to 225,784.42, 338,012.26 and 150,718.38 is: 225,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,784.42 : 338,012.26 = 150,718.38 : x
  2. Step 2: Convert to fraction form
    225,784.42/338,012.26 = 150,718.38/x
  3. Step 3: Cross multiply
    225,784.42x = 338,012.26 × 150,718.38
  4. Step 4: Simplify right side
    225,784.42x = 50,944,660,247.34
  5. Step 5: Solve for x
    x = 50,944,660,247.34/225,784.42
  6. Step 6: Final answer
    x = 225,634.08

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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.