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Finding the Fourth Proportional to 188,911.40, 260,697.30 and 102,869

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Solution

The fourth proportional to 188,911.40, 260,697.30 and 102,869 is: 141,958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,911.40 : 260,697.30 = 102,869 : x
  2. Step 2: Convert to fraction form
    188,911.40/260,697.30 = 102,869/x
  3. Step 3: Cross multiply
    188,911.40x = 260,697.30 × 102,869
  4. Step 4: Simplify right side
    188,911.40x = 26,817,670,553.70
  5. Step 5: Solve for x
    x = 26,817,670,553.70/188,911.40
  6. Step 6: Final answer
    x = 141,958.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.