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Finding the Fourth Proportional to 102,857.40, 142,078.74 and 78,942.96

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Solution

The fourth proportional to 102,857.40, 142,078.74 and 78,942.96 is: 109,045.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,857.40 : 142,078.74 = 78,942.96 : x
  2. Step 2: Convert to fraction form
    102,857.40/142,078.74 = 78,942.96/x
  3. Step 3: Cross multiply
    102,857.40x = 142,078.74 × 78,942.96
  4. Step 4: Simplify right side
    102,857.40x = 11,216,116,288.67
  5. Step 5: Solve for x
    x = 11,216,116,288.67/102,857.40
  6. Step 6: Final answer
    x = 109,045.30

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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.