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Finding the Fourth Proportional to 172,745.86, 258,533.54 and 106,228.12

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Solution

The fourth proportional to 172,745.86, 258,533.54 and 106,228.12 is: 158,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,745.86 : 258,533.54 = 106,228.12 : x
  2. Step 2: Convert to fraction form
    172,745.86/258,533.54 = 106,228.12/x
  3. Step 3: Cross multiply
    172,745.86x = 258,533.54 × 106,228.12
  4. Step 4: Simplify right side
    172,745.86x = 27,463,531,911.14
  5. Step 5: Solve for x
    x = 27,463,531,911.14/172,745.86
  6. Step 6: Final answer
    x = 158,982.29

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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.