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Finding the Fourth Proportional to 206,578.68, 309,203.72 and 106,602.72

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Solution

The fourth proportional to 206,578.68, 309,203.72 and 106,602.72 is: 159,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,578.68 : 309,203.72 = 106,602.72 : x
  2. Step 2: Convert to fraction form
    206,578.68/309,203.72 = 106,602.72/x
  3. Step 3: Cross multiply
    206,578.68x = 309,203.72 × 106,602.72
  4. Step 4: Simplify right side
    206,578.68x = 32,961,957,053.10
  5. Step 5: Solve for x
    x = 32,961,957,053.10/206,578.68
  6. Step 6: Final answer
    x = 159,561.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.