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Finding the Fourth Proportional to 102,906.06, 142,023.04 and 62,623.96

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Solution

The fourth proportional to 102,906.06, 142,023.04 and 62,623.96 is: 86,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.06 : 142,023.04 = 62,623.96 : x
  2. Step 2: Convert to fraction form
    102,906.06/142,023.04 = 62,623.96/x
  3. Step 3: Cross multiply
    102,906.06x = 142,023.04 × 62,623.96
  4. Step 4: Simplify right side
    102,906.06x = 8,894,045,176.04
  5. Step 5: Solve for x
    x = 8,894,045,176.04/102,906.06
  6. Step 6: Final answer
    x = 86,428.78

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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.