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Finding the Fourth Proportional to 186,802, 257,786.76 and 119,734

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Solution

The fourth proportional to 186,802, 257,786.76 and 119,734 is: 165,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,802 : 257,786.76 = 119,734 : x
  2. Step 2: Convert to fraction form
    186,802/257,786.76 = 119,734/x
  3. Step 3: Cross multiply
    186,802x = 257,786.76 × 119,734
  4. Step 4: Simplify right side
    186,802x = 30,865,839,921.84
  5. Step 5: Solve for x
    x = 30,865,839,921.84/186,802
  6. Step 6: Final answer
    x = 165,232.92

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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.