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Finding the Fourth Proportional to 148,517.82, 222,835.05 and 65,353.50

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Solution

The fourth proportional to 148,517.82, 222,835.05 and 65,353.50 is: 98,055.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,517.82 : 222,835.05 = 65,353.50 : x
  2. Step 2: Convert to fraction form
    148,517.82/222,835.05 = 65,353.50/x
  3. Step 3: Cross multiply
    148,517.82x = 222,835.05 × 65,353.50
  4. Step 4: Simplify right side
    148,517.82x = 14,563,050,440.18
  5. Step 5: Solve for x
    x = 14,563,050,440.18/148,517.82
  6. Step 6: Final answer
    x = 98,055.91

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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.