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Finding the Fourth Proportional to 178,902.20, 268,353.06 and 45,782.50

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Solution

The fourth proportional to 178,902.20, 268,353.06 and 45,782.50 is: 68,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,902.20 : 268,353.06 = 45,782.50 : x
  2. Step 2: Convert to fraction form
    178,902.20/268,353.06 = 45,782.50/x
  3. Step 3: Cross multiply
    178,902.20x = 268,353.06 × 45,782.50
  4. Step 4: Simplify right side
    178,902.20x = 12,285,873,969.45
  5. Step 5: Solve for x
    x = 12,285,873,969.45/178,902.20
  6. Step 6: Final answer
    x = 68,673.69

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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.