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Finding the Fourth Proportional to 283,359.86, 425,122.49 and 105,826.04

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Solution

The fourth proportional to 283,359.86, 425,122.49 and 105,826.04 is: 158,769.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,359.86 : 425,122.49 = 105,826.04 : x
  2. Step 2: Convert to fraction form
    283,359.86/425,122.49 = 105,826.04/x
  3. Step 3: Cross multiply
    283,359.86x = 425,122.49 × 105,826.04
  4. Step 4: Simplify right side
    283,359.86x = 44,989,026,976.90
  5. Step 5: Solve for x
    x = 44,989,026,976.90/283,359.86
  6. Step 6: Final answer
    x = 158,769.94

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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.