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Finding the Fourth Proportional to 283,143.24, 424,418.70 and 105,573

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Solution

The fourth proportional to 283,143.24, 424,418.70 and 105,573 is: 158,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,143.24 : 424,418.70 = 105,573 : x
  2. Step 2: Convert to fraction form
    283,143.24/424,418.70 = 105,573/x
  3. Step 3: Cross multiply
    283,143.24x = 424,418.70 × 105,573
  4. Step 4: Simplify right side
    283,143.24x = 44,807,155,415.10
  5. Step 5: Solve for x
    x = 44,807,155,415.10/283,143.24
  6. Step 6: Final answer
    x = 158,249.07

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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.