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Finding the Fourth Proportional to 186,914.50, 257,942.25 and 119,846.50

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Solution

The fourth proportional to 186,914.50, 257,942.25 and 119,846.50 is: 165,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,914.50 : 257,942.25 = 119,846.50 : x
  2. Step 2: Convert to fraction form
    186,914.50/257,942.25 = 119,846.50/x
  3. Step 3: Cross multiply
    186,914.50x = 257,942.25 × 119,846.50
  4. Step 4: Simplify right side
    186,914.50x = 30,913,475,864.63
  5. Step 5: Solve for x
    x = 30,913,475,864.63/186,914.50
  6. Step 6: Final answer
    x = 165,388.32

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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.