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Finding the Fourth Proportional to 436,109.54, 654,164.31 and 136,592.60

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Solution

The fourth proportional to 436,109.54, 654,164.31 and 136,592.60 is: 204,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,109.54 : 654,164.31 = 136,592.60 : x
  2. Step 2: Convert to fraction form
    436,109.54/654,164.31 = 136,592.60/x
  3. Step 3: Cross multiply
    436,109.54x = 654,164.31 × 136,592.60
  4. Step 4: Simplify right side
    436,109.54x = 89,354,003,930.11
  5. Step 5: Solve for x
    x = 89,354,003,930.11/436,109.54
  6. Step 6: Final answer
    x = 204,888.90

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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.