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Finding the Fourth Proportional to 81,970.70, 114,914.50 and 81,970.70

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Solution

The fourth proportional to 81,970.70, 114,914.50 and 81,970.70 is: 114,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,970.70 : 114,914.50 = 81,970.70 : x
  2. Step 2: Convert to fraction form
    81,970.70/114,914.50 = 81,970.70/x
  3. Step 3: Cross multiply
    81,970.70x = 114,914.50 × 81,970.70
  4. Step 4: Simplify right side
    81,970.70x = 9,419,622,005.15
  5. Step 5: Solve for x
    x = 9,419,622,005.15/81,970.70
  6. Step 6: Final answer
    x = 114,914.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.