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Finding the Fourth Proportional to 186,676.98, 257,604.90 and 106,093.86

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Solution

The fourth proportional to 186,676.98, 257,604.90 and 106,093.86 is: 146,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,676.98 : 257,604.90 = 106,093.86 : x
  2. Step 2: Convert to fraction form
    186,676.98/257,604.90 = 106,093.86/x
  3. Step 3: Cross multiply
    186,676.98x = 257,604.90 × 106,093.86
  4. Step 4: Simplify right side
    186,676.98x = 27,330,298,195.91
  5. Step 5: Solve for x
    x = 27,330,298,195.91/186,676.98
  6. Step 6: Final answer
    x = 146,404.22

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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.