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Finding the Fourth Proportional to 179,563.94, 269,348.69 and 53,216.90

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Solution

The fourth proportional to 179,563.94, 269,348.69 and 53,216.90 is: 79,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,563.94 : 269,348.69 = 53,216.90 : x
  2. Step 2: Convert to fraction form
    179,563.94/269,348.69 = 53,216.90/x
  3. Step 3: Cross multiply
    179,563.94x = 269,348.69 × 53,216.90
  4. Step 4: Simplify right side
    179,563.94x = 14,333,902,097.22
  5. Step 5: Solve for x
    x = 14,333,902,097.22/179,563.94
  6. Step 6: Final answer
    x = 79,826.17

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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.