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Finding the Fourth Proportional to 164,842.92, 247,310.46 and 54,112.68

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Solution

The fourth proportional to 164,842.92, 247,310.46 and 54,112.68 is: 81,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,842.92 : 247,310.46 = 54,112.68 : x
  2. Step 2: Convert to fraction form
    164,842.92/247,310.46 = 54,112.68/x
  3. Step 3: Cross multiply
    164,842.92x = 247,310.46 × 54,112.68
  4. Step 4: Simplify right side
    164,842.92x = 13,382,631,782.63
  5. Step 5: Solve for x
    x = 13,382,631,782.63/164,842.92
  6. Step 6: Final answer
    x = 81,184.15

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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.