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Finding the Fourth Proportional to 202,738.40, 304,078.80 and 62,511.20

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Solution

The fourth proportional to 202,738.40, 304,078.80 and 62,511.20 is: 93,757.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,738.40 : 304,078.80 = 62,511.20 : x
  2. Step 2: Convert to fraction form
    202,738.40/304,078.80 = 62,511.20/x
  3. Step 3: Cross multiply
    202,738.40x = 304,078.80 × 62,511.20
  4. Step 4: Simplify right side
    202,738.40x = 19,008,330,682.56
  5. Step 5: Solve for x
    x = 19,008,330,682.56/202,738.40
  6. Step 6: Final answer
    x = 93,757.92

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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.