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Finding the Fourth Proportional to 205,327.34, 283,353.90 and 120,445.82

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Solution

The fourth proportional to 205,327.34, 283,353.90 and 120,445.82 is: 166,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,327.34 : 283,353.90 = 120,445.82 : x
  2. Step 2: Convert to fraction form
    205,327.34/283,353.90 = 120,445.82/x
  3. Step 3: Cross multiply
    205,327.34x = 283,353.90 × 120,445.82
  4. Step 4: Simplify right side
    205,327.34x = 34,128,792,835.70
  5. Step 5: Solve for x
    x = 34,128,792,835.70/205,327.34
  6. Step 6: Final answer
    x = 166,216.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.