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Finding the Fourth Proportional to 102,562.30, 154,001.85 and 55,906.30

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Solution

The fourth proportional to 102,562.30, 154,001.85 and 55,906.30 is: 83,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,562.30 : 154,001.85 = 55,906.30 : x
  2. Step 2: Convert to fraction form
    102,562.30/154,001.85 = 55,906.30/x
  3. Step 3: Cross multiply
    102,562.30x = 154,001.85 × 55,906.30
  4. Step 4: Simplify right side
    102,562.30x = 8,609,673,626.66
  5. Step 5: Solve for x
    x = 8,609,673,626.66/102,562.30
  6. Step 6: Final answer
    x = 83,945.79

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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.