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Finding the Fourth Proportional to 320,451.21, 480,514.50 and 107,143.29

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Solution

The fourth proportional to 320,451.21, 480,514.50 and 107,143.29 is: 160,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,451.21 : 480,514.50 = 107,143.29 : x
  2. Step 2: Convert to fraction form
    320,451.21/480,514.50 = 107,143.29/x
  3. Step 3: Cross multiply
    320,451.21x = 480,514.50 × 107,143.29
  4. Step 4: Simplify right side
    320,451.21x = 51,483,904,422.71
  5. Step 5: Solve for x
    x = 51,483,904,422.71/320,451.21
  6. Step 6: Final answer
    x = 160,660.66

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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.