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Finding the Fourth Proportional to 186,858.92, 257,861.72 and 101,976.59

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Solution

The fourth proportional to 186,858.92, 257,861.72 and 101,976.59 is: 140,725.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,858.92 : 257,861.72 = 101,976.59 : x
  2. Step 2: Convert to fraction form
    186,858.92/257,861.72 = 101,976.59/x
  3. Step 3: Cross multiply
    186,858.92x = 257,861.72 × 101,976.59
  4. Step 4: Simplify right side
    186,858.92x = 26,295,859,031.91
  5. Step 5: Solve for x
    x = 26,295,859,031.91/186,858.92
  6. Step 6: Final answer
    x = 140,725.73

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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.