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Finding the Fourth Proportional to 172,750.86, 258,541.04 and 106,233.12

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Solution

The fourth proportional to 172,750.86, 258,541.04 and 106,233.12 is: 158,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,750.86 : 258,541.04 = 106,233.12 : x
  2. Step 2: Convert to fraction form
    172,750.86/258,541.04 = 106,233.12/x
  3. Step 3: Cross multiply
    172,750.86x = 258,541.04 × 106,233.12
  4. Step 4: Simplify right side
    172,750.86x = 27,465,621,327.24
  5. Step 5: Solve for x
    x = 27,465,621,327.24/172,750.86
  6. Step 6: Final answer
    x = 158,989.78

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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.