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Finding the Fourth Proportional to 179,602.02, 269,393.27 and 54,943.02

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Solution

The fourth proportional to 179,602.02, 269,393.27 and 54,943.02 is: 82,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,602.02 : 269,393.27 = 54,943.02 : x
  2. Step 2: Convert to fraction form
    179,602.02/269,393.27 = 54,943.02/x
  3. Step 3: Cross multiply
    179,602.02x = 269,393.27 × 54,943.02
  4. Step 4: Simplify right side
    179,602.02x = 14,801,279,546.76
  5. Step 5: Solve for x
    x = 14,801,279,546.76/179,602.02
  6. Step 6: Final answer
    x = 82,411.54

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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.