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Finding the Fourth Proportional to 186,801, 257,785.38 and 119,733

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Solution

The fourth proportional to 186,801, 257,785.38 and 119,733 is: 165,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,801 : 257,785.38 = 119,733 : x
  2. Step 2: Convert to fraction form
    186,801/257,785.38 = 119,733/x
  3. Step 3: Cross multiply
    186,801x = 257,785.38 × 119,733
  4. Step 4: Simplify right side
    186,801x = 30,865,416,903.54
  5. Step 5: Solve for x
    x = 30,865,416,903.54/186,801
  6. Step 6: Final answer
    x = 165,231.54

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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.