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Finding the Fourth Proportional to 186,385.50, 257,236.30 and 110,934

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Solution

The fourth proportional to 186,385.50, 257,236.30 and 110,934 is: 153,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,385.50 : 257,236.30 = 110,934 : x
  2. Step 2: Convert to fraction form
    186,385.50/257,236.30 = 110,934/x
  3. Step 3: Cross multiply
    186,385.50x = 257,236.30 × 110,934
  4. Step 4: Simplify right side
    186,385.50x = 28,536,251,704.20
  5. Step 5: Solve for x
    x = 28,536,251,704.20/186,385.50
  6. Step 6: Final answer
    x = 153,103.39

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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.