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Finding the Fourth Proportional to 283,953, 425,804.76 and 106,335.44

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Solution

The fourth proportional to 283,953, 425,804.76 and 106,335.44 is: 159,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,953 : 425,804.76 = 106,335.44 : x
  2. Step 2: Convert to fraction form
    283,953/425,804.76 = 106,335.44/x
  3. Step 3: Cross multiply
    283,953x = 425,804.76 × 106,335.44
  4. Step 4: Simplify right side
    283,953x = 45,278,136,508.69
  5. Step 5: Solve for x
    x = 45,278,136,508.69/283,953
  6. Step 6: Final answer
    x = 159,456.45

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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.