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Finding the Fourth Proportional to 270,552.38, 405,514.86 and 101,964.75

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Solution

The fourth proportional to 270,552.38, 405,514.86 and 101,964.75 is: 152,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,552.38 : 405,514.86 = 101,964.75 : x
  2. Step 2: Convert to fraction form
    270,552.38/405,514.86 = 101,964.75/x
  3. Step 3: Cross multiply
    270,552.38x = 405,514.86 × 101,964.75
  4. Step 4: Simplify right side
    270,552.38x = 41,348,221,321.19
  5. Step 5: Solve for x
    x = 41,348,221,321.19/270,552.38
  6. Step 6: Final answer
    x = 152,828.90

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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.