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Finding the Fourth Proportional to 186,743.66, 257,709.76 and 101,863.76

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Solution

The fourth proportional to 186,743.66, 257,709.76 and 101,863.76 is: 140,573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,743.66 : 257,709.76 = 101,863.76 : x
  2. Step 2: Convert to fraction form
    186,743.66/257,709.76 = 101,863.76/x
  3. Step 3: Cross multiply
    186,743.66x = 257,709.76 × 101,863.76
  4. Step 4: Simplify right side
    186,743.66x = 26,251,285,142.30
  5. Step 5: Solve for x
    x = 26,251,285,142.30/186,743.66
  6. Step 6: Final answer
    x = 140,573.90

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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.