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Finding the Fourth Proportional to 206,338.89, 309,051.09 and 158,602.50

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Solution

The fourth proportional to 206,338.89, 309,051.09 and 158,602.50 is: 237,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,338.89 : 309,051.09 = 158,602.50 : x
  2. Step 2: Convert to fraction form
    206,338.89/309,051.09 = 158,602.50/x
  3. Step 3: Cross multiply
    206,338.89x = 309,051.09 × 158,602.50
  4. Step 4: Simplify right side
    206,338.89x = 49,016,275,501.73
  5. Step 5: Solve for x
    x = 49,016,275,501.73/206,338.89
  6. Step 6: Final answer
    x = 237,552.29

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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.