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Finding the Fourth Proportional to 202,964.02, 304,447.32 and 53,203

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Solution

The fourth proportional to 202,964.02, 304,447.32 and 53,203 is: 79,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,964.02 : 304,447.32 = 53,203 : x
  2. Step 2: Convert to fraction form
    202,964.02/304,447.32 = 53,203/x
  3. Step 3: Cross multiply
    202,964.02x = 304,447.32 × 53,203
  4. Step 4: Simplify right side
    202,964.02x = 16,197,510,765.96
  5. Step 5: Solve for x
    x = 16,197,510,765.96/202,964.02
  6. Step 6: Final answer
    x = 79,804.84

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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.