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Finding the Fourth Proportional to 172,546.16, 258,487.52 and 105,791.64

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Solution

The fourth proportional to 172,546.16, 258,487.52 and 105,791.64 is: 158,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,546.16 : 258,487.52 = 105,791.64 : x
  2. Step 2: Convert to fraction form
    172,546.16/258,487.52 = 105,791.64/x
  3. Step 3: Cross multiply
    172,546.16x = 258,487.52 × 105,791.64
  4. Step 4: Simplify right side
    172,546.16x = 27,345,818,660.33
  5. Step 5: Solve for x
    x = 27,345,818,660.33/172,546.16
  6. Step 6: Final answer
    x = 158,484.08

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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.