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Finding the Fourth Proportional to 136,544.24, 204,844.24 and 77,406.32

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Solution

The fourth proportional to 136,544.24, 204,844.24 and 77,406.32 is: 116,125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,544.24 : 204,844.24 = 77,406.32 : x
  2. Step 2: Convert to fraction form
    136,544.24/204,844.24 = 77,406.32/x
  3. Step 3: Cross multiply
    136,544.24x = 204,844.24 × 77,406.32
  4. Step 4: Simplify right side
    136,544.24x = 15,856,238,791.60
  5. Step 5: Solve for x
    x = 15,856,238,791.60/136,544.24
  6. Step 6: Final answer
    x = 116,125.29

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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.