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Finding the Fourth Proportional to 283,907, 425,932.50 and 106,414.52

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Solution

The fourth proportional to 283,907, 425,932.50 and 106,414.52 is: 159,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,907 : 425,932.50 = 106,414.52 : x
  2. Step 2: Convert to fraction form
    283,907/425,932.50 = 106,414.52/x
  3. Step 3: Cross multiply
    283,907x = 425,932.50 × 106,414.52
  4. Step 4: Simplify right side
    283,907x = 45,325,402,539.90
  5. Step 5: Solve for x
    x = 45,325,402,539.90/283,907
  6. Step 6: Final answer
    x = 159,648.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.