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Finding the Fourth Proportional to 283,999.71, 425,874.26 and 106,382.10

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Solution

The fourth proportional to 283,999.71, 425,874.26 and 106,382.10 is: 159,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,999.71 : 425,874.26 = 106,382.10 : x
  2. Step 2: Convert to fraction form
    283,999.71/425,874.26 = 106,382.10/x
  3. Step 3: Cross multiply
    283,999.71x = 425,874.26 × 106,382.10
  4. Step 4: Simplify right side
    283,999.71x = 45,305,397,582.84
  5. Step 5: Solve for x
    x = 45,305,397,582.84/283,999.71
  6. Step 6: Final answer
    x = 159,526.21

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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.