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Finding the Fourth Proportional to 202,977.75, 304,467.90 and 53,216.70

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Solution

The fourth proportional to 202,977.75, 304,467.90 and 53,216.70 is: 79,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,977.75 : 304,467.90 = 53,216.70 : x
  2. Step 2: Convert to fraction form
    202,977.75/304,467.90 = 53,216.70/x
  3. Step 3: Cross multiply
    202,977.75x = 304,467.90 × 53,216.70
  4. Step 4: Simplify right side
    202,977.75x = 16,202,776,893.93
  5. Step 5: Solve for x
    x = 16,202,776,893.93/202,977.75
  6. Step 6: Final answer
    x = 79,825.38

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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.