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Finding the Fourth Proportional to 283,627.04, 425,514.36 and 106,148

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Solution

The fourth proportional to 283,627.04, 425,514.36 and 106,148 is: 159,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,627.04 : 425,514.36 = 106,148 : x
  2. Step 2: Convert to fraction form
    283,627.04/425,514.36 = 106,148/x
  3. Step 3: Cross multiply
    283,627.04x = 425,514.36 × 106,148
  4. Step 4: Simplify right side
    283,627.04x = 45,167,498,285.28
  5. Step 5: Solve for x
    x = 45,167,498,285.28/283,627.04
  6. Step 6: Final answer
    x = 159,249.62

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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.