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Finding the Fourth Proportional to 270,786.52, 373,691.21 and 148,284.07

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Solution

The fourth proportional to 270,786.52, 373,691.21 and 148,284.07 is: 204,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,786.52 : 373,691.21 = 148,284.07 : x
  2. Step 2: Convert to fraction form
    270,786.52/373,691.21 = 148,284.07/x
  3. Step 3: Cross multiply
    270,786.52x = 373,691.21 × 148,284.07
  4. Step 4: Simplify right side
    270,786.52x = 55,412,452,491.95
  5. Step 5: Solve for x
    x = 55,412,452,491.95/270,786.52
  6. Step 6: Final answer
    x = 204,635.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.