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Finding the Fourth Proportional to 182,930.10, 274,067.10 and 156,686.10

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Solution

The fourth proportional to 182,930.10, 274,067.10 and 156,686.10 is: 234,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,930.10 : 274,067.10 = 156,686.10 : x
  2. Step 2: Convert to fraction form
    182,930.10/274,067.10 = 156,686.10/x
  3. Step 3: Cross multiply
    182,930.10x = 274,067.10 × 156,686.10
  4. Step 4: Simplify right side
    182,930.10x = 42,942,505,037.31
  5. Step 5: Solve for x
    x = 42,942,505,037.31/182,930.10
  6. Step 6: Final answer
    x = 234,748.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.