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Finding the Fourth Proportional to 165,305.69, 247,957.44 and 45,353.26

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Solution

The fourth proportional to 165,305.69, 247,957.44 and 45,353.26 is: 68,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,305.69 : 247,957.44 = 45,353.26 : x
  2. Step 2: Convert to fraction form
    165,305.69/247,957.44 = 45,353.26/x
  3. Step 3: Cross multiply
    165,305.69x = 247,957.44 × 45,353.26
  4. Step 4: Simplify right side
    165,305.69x = 11,245,678,070.41
  5. Step 5: Solve for x
    x = 11,245,678,070.41/165,305.69
  6. Step 6: Final answer
    x = 68,029.59

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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.