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Finding the Fourth Proportional to 165,001.64, 247,462.76 and 76,169.80

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Solution

The fourth proportional to 165,001.64, 247,462.76 and 76,169.80 is: 114,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,001.64 : 247,462.76 = 76,169.80 : x
  2. Step 2: Convert to fraction form
    165,001.64/247,462.76 = 76,169.80/x
  3. Step 3: Cross multiply
    165,001.64x = 247,462.76 × 76,169.80
  4. Step 4: Simplify right side
    165,001.64x = 18,849,188,936.65
  5. Step 5: Solve for x
    x = 18,849,188,936.65/165,001.64
  6. Step 6: Final answer
    x = 114,236.37

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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.