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Finding the Fourth Proportional to 205,093.20, 307,639.80 and 64,862.80

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Solution

The fourth proportional to 205,093.20, 307,639.80 and 64,862.80 is: 97,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,093.20 : 307,639.80 = 64,862.80 : x
  2. Step 2: Convert to fraction form
    205,093.20/307,639.80 = 64,862.80/x
  3. Step 3: Cross multiply
    205,093.20x = 307,639.80 × 64,862.80
  4. Step 4: Simplify right side
    205,093.20x = 19,954,378,819.44
  5. Step 5: Solve for x
    x = 19,954,378,819.44/205,093.20
  6. Step 6: Final answer
    x = 97,294.20

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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.