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Finding the Fourth Proportional to 114,745.36, 172,092.08 and 43,642.64

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Solution

The fourth proportional to 114,745.36, 172,092.08 and 43,642.64 is: 65,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,745.36 : 172,092.08 = 43,642.64 : x
  2. Step 2: Convert to fraction form
    114,745.36/172,092.08 = 43,642.64/x
  3. Step 3: Cross multiply
    114,745.36x = 172,092.08 × 43,642.64
  4. Step 4: Simplify right side
    114,745.36x = 7,510,552,694.29
  5. Step 5: Solve for x
    x = 7,510,552,694.29/114,745.36
  6. Step 6: Final answer
    x = 65,454.09

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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.