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Finding the Fourth Proportional to 148,555.50, 222,842.97 and 65,449.50

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Solution

The fourth proportional to 148,555.50, 222,842.97 and 65,449.50 is: 98,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,555.50 : 222,842.97 = 65,449.50 : x
  2. Step 2: Convert to fraction form
    148,555.50/222,842.97 = 65,449.50/x
  3. Step 3: Cross multiply
    148,555.50x = 222,842.97 × 65,449.50
  4. Step 4: Simplify right side
    148,555.50x = 14,584,960,965.02
  5. Step 5: Solve for x
    x = 14,584,960,965.02/148,555.50
  6. Step 6: Final answer
    x = 98,178.53

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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.