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Finding the Fourth Proportional to 202,782, 304,173 and 55,038

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Solution

The fourth proportional to 202,782, 304,173 and 55,038 is: 82,557

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,782 : 304,173 = 55,038 : x
  2. Step 2: Convert to fraction form
    202,782/304,173 = 55,038/x
  3. Step 3: Cross multiply
    202,782x = 304,173 × 55,038
  4. Step 4: Simplify right side
    202,782x = 16,741,073,574
  5. Step 5: Solve for x
    x = 16,741,073,574/202,782
  6. Step 6: Final answer
    x = 82,557

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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.