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Finding the Fourth Proportional to 136,006.40, 204,009.60 and 36,166.40

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Solution

The fourth proportional to 136,006.40, 204,009.60 and 36,166.40 is: 54,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,006.40 : 204,009.60 = 36,166.40 : x
  2. Step 2: Convert to fraction form
    136,006.40/204,009.60 = 36,166.40/x
  3. Step 3: Cross multiply
    136,006.40x = 204,009.60 × 36,166.40
  4. Step 4: Simplify right side
    136,006.40x = 7,378,292,797.44
  5. Step 5: Solve for x
    x = 7,378,292,797.44/136,006.40
  6. Step 6: Final answer
    x = 54,249.60

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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.