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Finding the Fourth Proportional to 209,338.73, 288,780.94 and 136,784.04

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Solution

The fourth proportional to 209,338.73, 288,780.94 and 136,784.04 is: 188,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,338.73 : 288,780.94 = 136,784.04 : x
  2. Step 2: Convert to fraction form
    209,338.73/288,780.94 = 136,784.04/x
  3. Step 3: Cross multiply
    209,338.73x = 288,780.94 × 136,784.04
  4. Step 4: Simplify right side
    209,338.73x = 39,500,623,648.20
  5. Step 5: Solve for x
    x = 39,500,623,648.20/209,338.73
  6. Step 6: Final answer
    x = 188,692.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.