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Finding the Fourth Proportional to 202,819.92, 304,202.88 and 53,048.28

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Solution

The fourth proportional to 202,819.92, 304,202.88 and 53,048.28 is: 79,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,819.92 : 304,202.88 = 53,048.28 : x
  2. Step 2: Convert to fraction form
    202,819.92/304,202.88 = 53,048.28/x
  3. Step 3: Cross multiply
    202,819.92x = 304,202.88 × 53,048.28
  4. Step 4: Simplify right side
    202,819.92x = 16,137,439,555.05
  5. Step 5: Solve for x
    x = 16,137,439,555.05/202,819.92
  6. Step 6: Final answer
    x = 79,565.36

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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.