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Finding the Fourth Proportional to 136,499.10, 204,712.20 and 41,729.10

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Solution

The fourth proportional to 136,499.10, 204,712.20 and 41,729.10 is: 62,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,499.10 : 204,712.20 = 41,729.10 : x
  2. Step 2: Convert to fraction form
    136,499.10/204,712.20 = 41,729.10/x
  3. Step 3: Cross multiply
    136,499.10x = 204,712.20 × 41,729.10
  4. Step 4: Simplify right side
    136,499.10x = 8,542,455,865.02
  5. Step 5: Solve for x
    x = 8,542,455,865.02/136,499.10
  6. Step 6: Final answer
    x = 62,582.51

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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.