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Finding the Fourth Proportional to 202,713.68, 304,024.32 and 76,367

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Solution

The fourth proportional to 202,713.68, 304,024.32 and 76,367 is: 114,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,713.68 : 304,024.32 = 76,367 : x
  2. Step 2: Convert to fraction form
    202,713.68/304,024.32 = 76,367/x
  3. Step 3: Cross multiply
    202,713.68x = 304,024.32 × 76,367
  4. Step 4: Simplify right side
    202,713.68x = 23,217,425,245.44
  5. Step 5: Solve for x
    x = 23,217,425,245.44/202,713.68
  6. Step 6: Final answer
    x = 114,533.10

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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.