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Finding the Fourth Proportional to 131,072.40, 196,657.20 and 52,243.20

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Solution

The fourth proportional to 131,072.40, 196,657.20 and 52,243.20 is: 78,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,072.40 : 196,657.20 = 52,243.20 : x
  2. Step 2: Convert to fraction form
    131,072.40/196,657.20 = 52,243.20/x
  3. Step 3: Cross multiply
    131,072.40x = 196,657.20 × 52,243.20
  4. Step 4: Simplify right side
    131,072.40x = 10,274,001,431.04
  5. Step 5: Solve for x
    x = 10,274,001,431.04/131,072.40
  6. Step 6: Final answer
    x = 78,384.17

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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.