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Finding the Fourth Proportional to 297,156.69, 445,730.17 and 119,659.23

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Solution

The fourth proportional to 297,156.69, 445,730.17 and 119,659.23 is: 179,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,156.69 : 445,730.17 = 119,659.23 : x
  2. Step 2: Convert to fraction form
    297,156.69/445,730.17 = 119,659.23/x
  3. Step 3: Cross multiply
    297,156.69x = 445,730.17 × 119,659.23
  4. Step 4: Simplify right side
    297,156.69x = 53,335,728,929.97
  5. Step 5: Solve for x
    x = 53,335,728,929.97/297,156.69
  6. Step 6: Final answer
    x = 179,486.89

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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.