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Finding the Fourth Proportional to 148,424.30, 204,828 and 80,443.44

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Solution

The fourth proportional to 148,424.30, 204,828 and 80,443.44 is: 111,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,424.30 : 204,828 = 80,443.44 : x
  2. Step 2: Convert to fraction form
    148,424.30/204,828 = 80,443.44/x
  3. Step 3: Cross multiply
    148,424.30x = 204,828 × 80,443.44
  4. Step 4: Simplify right side
    148,424.30x = 16,477,068,928.32
  5. Step 5: Solve for x
    x = 16,477,068,928.32/148,424.30
  6. Step 6: Final answer
    x = 111,013.28

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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.