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Finding the Fourth Proportional to 102,963.60, 154,386.24 and 54,873

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Solution

The fourth proportional to 102,963.60, 154,386.24 and 54,873 is: 82,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,963.60 : 154,386.24 = 54,873 : x
  2. Step 2: Convert to fraction form
    102,963.60/154,386.24 = 54,873/x
  3. Step 3: Cross multiply
    102,963.60x = 154,386.24 × 54,873
  4. Step 4: Simplify right side
    102,963.60x = 8,471,636,147.52
  5. Step 5: Solve for x
    x = 8,471,636,147.52/102,963.60
  6. Step 6: Final answer
    x = 82,277.97

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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.