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Finding the Fourth Proportional to 179,877.64, 269,769.46 and 53,483.85

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Solution

The fourth proportional to 179,877.64, 269,769.46 and 53,483.85 is: 80,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,877.64 : 269,769.46 = 53,483.85 : x
  2. Step 2: Convert to fraction form
    179,877.64/269,769.46 = 53,483.85/x
  3. Step 3: Cross multiply
    179,877.64x = 269,769.46 × 53,483.85
  4. Step 4: Simplify right side
    179,877.64x = 14,428,309,333.22
  5. Step 5: Solve for x
    x = 14,428,309,333.22/179,877.64
  6. Step 6: Final answer
    x = 80,211.80

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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.