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Finding the Fourth Proportional to 102,878.92, 154,212.78 and 50,223.64

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Solution

The fourth proportional to 102,878.92, 154,212.78 and 50,223.64 is: 75,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,878.92 : 154,212.78 = 50,223.64 : x
  2. Step 2: Convert to fraction form
    102,878.92/154,212.78 = 50,223.64/x
  3. Step 3: Cross multiply
    102,878.92x = 154,212.78 × 50,223.64
  4. Step 4: Simplify right side
    102,878.92x = 7,745,127,146.12
  5. Step 5: Solve for x
    x = 7,745,127,146.12/102,878.92
  6. Step 6: Final answer
    x = 75,283.91

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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.