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Finding the Fourth Proportional to 208,460.69, 312,686.72 and 50,689.97

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Solution

The fourth proportional to 208,460.69, 312,686.72 and 50,689.97 is: 76,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,460.69 : 312,686.72 = 50,689.97 : x
  2. Step 2: Convert to fraction form
    208,460.69/312,686.72 = 50,689.97/x
  3. Step 3: Cross multiply
    208,460.69x = 312,686.72 × 50,689.97
  4. Step 4: Simplify right side
    208,460.69x = 15,850,080,202.75
  5. Step 5: Solve for x
    x = 15,850,080,202.75/208,460.69
  6. Step 6: Final answer
    x = 76,033.90

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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.