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Finding the Fourth Proportional to 186,800, 257,784 and 119,732

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Solution

The fourth proportional to 186,800, 257,784 and 119,732 is: 165,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,800 : 257,784 = 119,732 : x
  2. Step 2: Convert to fraction form
    186,800/257,784 = 119,732/x
  3. Step 3: Cross multiply
    186,800x = 257,784 × 119,732
  4. Step 4: Simplify right side
    186,800x = 30,864,993,888
  5. Step 5: Solve for x
    x = 30,864,993,888/186,800
  6. Step 6: Final answer
    x = 165,230.16

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Why These Related Problems?

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