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Finding the Fourth Proportional to 205,203.87, 307,338.30 and 167,707.89

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Solution

The fourth proportional to 205,203.87, 307,338.30 and 167,707.89 is: 251,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,203.87 : 307,338.30 = 167,707.89 : x
  2. Step 2: Convert to fraction form
    205,203.87/307,338.30 = 167,707.89/x
  3. Step 3: Cross multiply
    205,203.87x = 307,338.30 × 167,707.89
  4. Step 4: Simplify right side
    205,203.87x = 51,543,057,809.19
  5. Step 5: Solve for x
    x = 51,543,057,809.19/205,203.87
  6. Step 6: Final answer
    x = 251,179.76

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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.