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Finding the Fourth Proportional to 283,143.10, 424,788.15 and 105,651.44

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Solution

The fourth proportional to 283,143.10, 424,788.15 and 105,651.44 is: 158,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,143.10 : 424,788.15 = 105,651.44 : x
  2. Step 2: Convert to fraction form
    283,143.10/424,788.15 = 105,651.44/x
  3. Step 3: Cross multiply
    283,143.10x = 424,788.15 × 105,651.44
  4. Step 4: Simplify right side
    283,143.10x = 44,879,479,214.18
  5. Step 5: Solve for x
    x = 44,879,479,214.18/283,143.10
  6. Step 6: Final answer
    x = 158,504.59

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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.