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Finding the Fourth Proportional to 148,441.20, 222,661.80 and 65,497.20

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Solution

The fourth proportional to 148,441.20, 222,661.80 and 65,497.20 is: 98,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,441.20 : 222,661.80 = 65,497.20 : x
  2. Step 2: Convert to fraction form
    148,441.20/222,661.80 = 65,497.20/x
  3. Step 3: Cross multiply
    148,441.20x = 222,661.80 × 65,497.20
  4. Step 4: Simplify right side
    148,441.20x = 14,583,724,446.96
  5. Step 5: Solve for x
    x = 14,583,724,446.96/148,441.20
  6. Step 6: Final answer
    x = 98,245.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.